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Finding the Fourth Proportional to 137,963.25, 206,944.88 and 54,915.57

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Solution

The fourth proportional to 137,963.25, 206,944.88 and 54,915.57 is: 82,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,963.25 : 206,944.88 = 54,915.57 : x
  2. Step 2: Convert to fraction form
    137,963.25/206,944.88 = 54,915.57/x
  3. Step 3: Cross multiply
    137,963.25x = 206,944.88 × 54,915.57
  4. Step 4: Simplify right side
    137,963.25x = 11,364,495,769.20
  5. Step 5: Solve for x
    x = 11,364,495,769.20/137,963.25
  6. Step 6: Final answer
    x = 82,373.36

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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.