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Finding the Fourth Proportional to 71,459.31, 107,253.21 and 52,508.05

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Solution

The fourth proportional to 71,459.31, 107,253.21 and 52,508.05 is: 78,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,459.31 : 107,253.21 = 52,508.05 : x
  2. Step 2: Convert to fraction form
    71,459.31/107,253.21 = 52,508.05/x
  3. Step 3: Cross multiply
    71,459.31x = 107,253.21 × 52,508.05
  4. Step 4: Simplify right side
    71,459.31x = 5,631,656,842.11
  5. Step 5: Solve for x
    x = 5,631,656,842.11/71,459.31
  6. Step 6: Final answer
    x = 78,809.28

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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.