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Finding the Fourth Proportional to 138,522.98, 207,773.34 and 61,609.78

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Solution

The fourth proportional to 138,522.98, 207,773.34 and 61,609.78 is: 92,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,522.98 : 207,773.34 = 61,609.78 : x
  2. Step 2: Convert to fraction form
    138,522.98/207,773.34 = 61,609.78/x
  3. Step 3: Cross multiply
    138,522.98x = 207,773.34 × 61,609.78
  4. Step 4: Simplify right side
    138,522.98x = 12,800,869,767.27
  5. Step 5: Solve for x
    x = 12,800,869,767.27/138,522.98
  6. Step 6: Final answer
    x = 92,409.72

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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.