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Finding the Fourth Proportional to 138,977.80, 208,320.90 and 54,705.40

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Solution

The fourth proportional to 138,977.80, 208,320.90 and 54,705.40 is: 82,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,977.80 : 208,320.90 = 54,705.40 : x
  2. Step 2: Convert to fraction form
    138,977.80/208,320.90 = 54,705.40/x
  3. Step 3: Cross multiply
    138,977.80x = 208,320.90 × 54,705.40
  4. Step 4: Simplify right side
    138,977.80x = 11,396,278,162.86
  5. Step 5: Solve for x
    x = 11,396,278,162.86/138,977.80
  6. Step 6: Final answer
    x = 82,000.71

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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.