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Finding the Fourth Proportional to 102,449.97, 153,638.01 and 43,290.23

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Solution

The fourth proportional to 102,449.97, 153,638.01 and 43,290.23 is: 64,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,449.97 : 153,638.01 = 43,290.23 : x
  2. Step 2: Convert to fraction form
    102,449.97/153,638.01 = 43,290.23/x
  3. Step 3: Cross multiply
    102,449.97x = 153,638.01 × 43,290.23
  4. Step 4: Simplify right side
    102,449.97x = 6,651,024,021.45
  5. Step 5: Solve for x
    x = 6,651,024,021.45/102,449.97
  6. Step 6: Final answer
    x = 64,919.73

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Double scale
Find fourth proportional to 102,450.97, 153,639.51 and 43,291.23
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.