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Finding the Fourth Proportional to 102,601.68, 153,835.91 and 42,613.70

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Solution

The fourth proportional to 102,601.68, 153,835.91 and 42,613.70 is: 63,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,601.68 : 153,835.91 = 42,613.70 : x
  2. Step 2: Convert to fraction form
    102,601.68/153,835.91 = 42,613.70/x
  3. Step 3: Cross multiply
    102,601.68x = 153,835.91 × 42,613.70
  4. Step 4: Simplify right side
    102,601.68x = 6,555,516,335.72
  5. Step 5: Solve for x
    x = 6,555,516,335.72/102,601.68
  6. Step 6: Final answer
    x = 63,892.88

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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.