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Finding the Fourth Proportional to 138,644.85, 207,966.60 and 54,345.45

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Solution

The fourth proportional to 138,644.85, 207,966.60 and 54,345.45 is: 81,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,644.85 : 207,966.60 = 54,345.45 : x
  2. Step 2: Convert to fraction form
    138,644.85/207,966.60 = 54,345.45/x
  3. Step 3: Cross multiply
    138,644.85x = 207,966.60 × 54,345.45
  4. Step 4: Simplify right side
    138,644.85x = 11,302,038,461.97
  5. Step 5: Solve for x
    x = 11,302,038,461.97/138,644.85
  6. Step 6: Final answer
    x = 81,517.91

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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.