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Finding the Fourth Proportional to 54,377.60, 81,596.12 and 21,098.97

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Solution

The fourth proportional to 54,377.60, 81,596.12 and 21,098.97 is: 31,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,377.60 : 81,596.12 = 21,098.97 : x
  2. Step 2: Convert to fraction form
    54,377.60/81,596.12 = 21,098.97/x
  3. Step 3: Cross multiply
    54,377.60x = 81,596.12 × 21,098.97
  4. Step 4: Simplify right side
    54,377.60x = 1,721,594,101.18
  5. Step 5: Solve for x
    x = 1,721,594,101.18/54,377.60
  6. Step 6: Final answer
    x = 31,659.99

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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.