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Finding the Fourth Proportional to 101,402.91, 151,882.65 and 51,397.16

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Solution

The fourth proportional to 101,402.91, 151,882.65 and 51,397.16 is: 76,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,402.91 : 151,882.65 = 51,397.16 : x
  2. Step 2: Convert to fraction form
    101,402.91/151,882.65 = 51,397.16/x
  3. Step 3: Cross multiply
    101,402.91x = 151,882.65 × 51,397.16
  4. Step 4: Simplify right side
    101,402.91x = 7,806,336,103.86
  5. Step 5: Solve for x
    x = 7,806,336,103.86/101,402.91
  6. Step 6: Final answer
    x = 76,983.35

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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.