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Finding the Fourth Proportional to 137,951.28, 206,965.08 and 54,903.60

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Solution

The fourth proportional to 137,951.28, 206,965.08 and 54,903.60 is: 82,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,951.28 : 206,965.08 = 54,903.60 : x
  2. Step 2: Convert to fraction form
    137,951.28/206,965.08 = 54,903.60/x
  3. Step 3: Cross multiply
    137,951.28x = 206,965.08 × 54,903.60
  4. Step 4: Simplify right side
    137,951.28x = 11,363,127,966.29
  5. Step 5: Solve for x
    x = 11,363,127,966.29/137,951.28
  6. Step 6: Final answer
    x = 82,370.59

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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.