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Finding the Fourth Proportional to 67,668.75, 101,538.13 and 49,101.87

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Solution

The fourth proportional to 67,668.75, 101,538.13 and 49,101.87 is: 73,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,668.75 : 101,538.13 = 49,101.87 : x
  2. Step 2: Convert to fraction form
    67,668.75/101,538.13 = 49,101.87/x
  3. Step 3: Cross multiply
    67,668.75x = 101,538.13 × 49,101.87
  4. Step 4: Simplify right side
    67,668.75x = 4,985,711,428.86
  5. Step 5: Solve for x
    x = 4,985,711,428.86/67,668.75
  6. Step 6: Final answer
    x = 73,678.19

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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.