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Finding the Fourth Proportional to 138,449.40, 207,663.30 and 54,193.20

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Solution

The fourth proportional to 138,449.40, 207,663.30 and 54,193.20 is: 81,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,449.40 : 207,663.30 = 54,193.20 : x
  2. Step 2: Convert to fraction form
    138,449.40/207,663.30 = 54,193.20/x
  3. Step 3: Cross multiply
    138,449.40x = 207,663.30 × 54,193.20
  4. Step 4: Simplify right side
    138,449.40x = 11,253,938,749.56
  5. Step 5: Solve for x
    x = 11,253,938,749.56/138,449.40
  6. Step 6: Final answer
    x = 81,285.57

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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.