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Finding the Fourth Proportional to 54,877, 75,730.80 and 29,727.04

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Solution

The fourth proportional to 54,877, 75,730.80 and 29,727.04 is: 41,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,877 : 75,730.80 = 29,727.04 : x
  2. Step 2: Convert to fraction form
    54,877/75,730.80 = 29,727.04/x
  3. Step 3: Cross multiply
    54,877x = 75,730.80 × 29,727.04
  4. Step 4: Simplify right side
    54,877x = 2,251,252,520.83
  5. Step 5: Solve for x
    x = 2,251,252,520.83/54,877
  6. Step 6: Final answer
    x = 41,023.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.