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Finding the Fourth Proportional to 138,250.86, 207,443.10 and 67,234.14

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Solution

The fourth proportional to 138,250.86, 207,443.10 and 67,234.14 is: 100,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,250.86 : 207,443.10 = 67,234.14 : x
  2. Step 2: Convert to fraction form
    138,250.86/207,443.10 = 67,234.14/x
  3. Step 3: Cross multiply
    138,250.86x = 207,443.10 × 67,234.14
  4. Step 4: Simplify right side
    138,250.86x = 13,947,258,427.43
  5. Step 5: Solve for x
    x = 13,947,258,427.43/138,250.86
  6. Step 6: Final answer
    x = 100,883.70

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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.