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Finding the Fourth Proportional to 71,419.12, 107,035.38 and 39,827.92

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Solution

The fourth proportional to 71,419.12, 107,035.38 and 39,827.92 is: 59,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,419.12 : 107,035.38 = 39,827.92 : x
  2. Step 2: Convert to fraction form
    71,419.12/107,035.38 = 39,827.92/x
  3. Step 3: Cross multiply
    71,419.12x = 107,035.38 × 39,827.92
  4. Step 4: Simplify right side
    71,419.12x = 4,262,996,551.81
  5. Step 5: Solve for x
    x = 4,262,996,551.81/71,419.12
  6. Step 6: Final answer
    x = 59,689.85

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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.