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Finding the Fourth Proportional to 137,658.33, 206,487 and 77,659.59

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Solution

The fourth proportional to 137,658.33, 206,487 and 77,659.59 is: 116,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,658.33 : 206,487 = 77,659.59 : x
  2. Step 2: Convert to fraction form
    137,658.33/206,487 = 77,659.59/x
  3. Step 3: Cross multiply
    137,658.33x = 206,487 × 77,659.59
  4. Step 4: Simplify right side
    137,658.33x = 16,035,695,760.33
  5. Step 5: Solve for x
    x = 16,035,695,760.33/137,658.33
  6. Step 6: Final answer
    x = 116,489.11

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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.