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Finding the Fourth Proportional to 136,642.92, 204,898.69 and 77,462.70

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Solution

The fourth proportional to 136,642.92, 204,898.69 and 77,462.70 is: 116,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,642.92 : 204,898.69 = 77,462.70 : x
  2. Step 2: Convert to fraction form
    136,642.92/204,898.69 = 77,462.70/x
  3. Step 3: Cross multiply
    136,642.92x = 204,898.69 × 77,462.70
  4. Step 4: Simplify right side
    136,642.92x = 15,872,005,753.86
  5. Step 5: Solve for x
    x = 15,872,005,753.86/136,642.92
  6. Step 6: Final answer
    x = 116,156.81

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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.