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Finding the Fourth Proportional to 138,548.92, 207,806.10 and 55,443.64

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Solution

The fourth proportional to 138,548.92, 207,806.10 and 55,443.64 is: 83,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,548.92 : 207,806.10 = 55,443.64 : x
  2. Step 2: Convert to fraction form
    138,548.92/207,806.10 = 55,443.64/x
  3. Step 3: Cross multiply
    138,548.92x = 207,806.10 × 55,443.64
  4. Step 4: Simplify right side
    138,548.92x = 11,521,526,598.20
  5. Step 5: Solve for x
    x = 11,521,526,598.20/138,548.92
  6. Step 6: Final answer
    x = 83,158.54

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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.