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Finding the Fourth Proportional to 138,400.16, 207,591.60 and 55,234.40

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Solution

The fourth proportional to 138,400.16, 207,591.60 and 55,234.40 is: 82,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,400.16 : 207,591.60 = 55,234.40 : x
  2. Step 2: Convert to fraction form
    138,400.16/207,591.60 = 55,234.40/x
  3. Step 3: Cross multiply
    138,400.16x = 207,591.60 × 55,234.40
  4. Step 4: Simplify right side
    138,400.16x = 11,466,197,471.04
  5. Step 5: Solve for x
    x = 11,466,197,471.04/138,400.16
  6. Step 6: Final answer
    x = 82,848.15

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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.