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Finding the Fourth Proportional to 71,513.28, 107,308.80 and 29,989.44

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Solution

The fourth proportional to 71,513.28, 107,308.80 and 29,989.44 is: 45,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,513.28 : 107,308.80 = 29,989.44 : x
  2. Step 2: Convert to fraction form
    71,513.28/107,308.80 = 29,989.44/x
  3. Step 3: Cross multiply
    71,513.28x = 107,308.80 × 29,989.44
  4. Step 4: Simplify right side
    71,513.28x = 3,218,130,819.07
  5. Step 5: Solve for x
    x = 3,218,130,819.07/71,513.28
  6. Step 6: Final answer
    x = 45,000.46

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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.