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Finding the Fourth Proportional to 138,213.41, 207,223.92 and 61,234.61

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Solution

The fourth proportional to 138,213.41, 207,223.92 and 61,234.61 is: 91,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,213.41 : 207,223.92 = 61,234.61 : x
  2. Step 2: Convert to fraction form
    138,213.41/207,223.92 = 61,234.61/x
  3. Step 3: Cross multiply
    138,213.41x = 207,223.92 × 61,234.61
  4. Step 4: Simplify right side
    138,213.41x = 12,689,274,887.75
  5. Step 5: Solve for x
    x = 12,689,274,887.75/138,213.41
  6. Step 6: Final answer
    x = 91,809.29

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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.