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Finding the Fourth Proportional to 138,502.60, 207,856.30 and 55,456.20

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Solution

The fourth proportional to 138,502.60, 207,856.30 and 55,456.20 is: 83,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,502.60 : 207,856.30 = 55,456.20 : x
  2. Step 2: Convert to fraction form
    138,502.60/207,856.30 = 55,456.20/x
  3. Step 3: Cross multiply
    138,502.60x = 207,856.30 × 55,456.20
  4. Step 4: Simplify right side
    138,502.60x = 11,526,920,544.06
  5. Step 5: Solve for x
    x = 11,526,920,544.06/138,502.60
  6. Step 6: Final answer
    x = 83,225.30

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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.