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Finding the Fourth Proportional to 71,281.69, 106,918.38 and 18,691.16

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Solution

The fourth proportional to 71,281.69, 106,918.38 and 18,691.16 is: 28,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,281.69 : 106,918.38 = 18,691.16 : x
  2. Step 2: Convert to fraction form
    71,281.69/106,918.38 = 18,691.16/x
  3. Step 3: Cross multiply
    71,281.69x = 106,918.38 × 18,691.16
  4. Step 4: Simplify right side
    71,281.69x = 1,998,428,012.93
  5. Step 5: Solve for x
    x = 1,998,428,012.93/71,281.69
  6. Step 6: Final answer
    x = 28,035.64

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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.