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Finding the Fourth Proportional to 102,440, 153,720.48 and 43,271.84

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Solution

The fourth proportional to 102,440, 153,720.48 and 43,271.84 is: 64,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,440 : 153,720.48 = 43,271.84 : x
  2. Step 2: Convert to fraction form
    102,440/153,720.48 = 43,271.84/x
  3. Step 3: Cross multiply
    102,440x = 153,720.48 × 43,271.84
  4. Step 4: Simplify right side
    102,440x = 6,651,768,015.28
  5. Step 5: Solve for x
    x = 6,651,768,015.28/102,440
  6. Step 6: Final answer
    x = 64,933.31

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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.