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Finding the Fourth Proportional to 102,532.90, 153,820.95 and 43,338.10

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Solution

The fourth proportional to 102,532.90, 153,820.95 and 43,338.10 is: 65,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,532.90 : 153,820.95 = 43,338.10 : x
  2. Step 2: Convert to fraction form
    102,532.90/153,820.95 = 43,338.10/x
  3. Step 3: Cross multiply
    102,532.90x = 153,820.95 × 43,338.10
  4. Step 4: Simplify right side
    102,532.90x = 6,666,307,713.20
  5. Step 5: Solve for x
    x = 6,666,307,713.20/102,532.90
  6. Step 6: Final answer
    x = 65,016.28

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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.