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Finding the Fourth Proportional to 137,921.70, 206,882.55 and 54,815.70

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Solution

The fourth proportional to 137,921.70, 206,882.55 and 54,815.70 is: 82,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,921.70 : 206,882.55 = 54,815.70 : x
  2. Step 2: Convert to fraction form
    137,921.70/206,882.55 = 54,815.70/x
  3. Step 3: Cross multiply
    137,921.70x = 206,882.55 × 54,815.70
  4. Step 4: Simplify right side
    137,921.70x = 11,340,411,796.04
  5. Step 5: Solve for x
    x = 11,340,411,796.04/137,921.70
  6. Step 6: Final answer
    x = 82,223.55

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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.