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Finding the Fourth Proportional to 54,086.71, 81,123.92 and 14,646.90

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Solution

The fourth proportional to 54,086.71, 81,123.92 and 14,646.90 is: 21,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,086.71 : 81,123.92 = 14,646.90 : x
  2. Step 2: Convert to fraction form
    54,086.71/81,123.92 = 14,646.90/x
  3. Step 3: Cross multiply
    54,086.71x = 81,123.92 × 14,646.90
  4. Step 4: Simplify right side
    54,086.71x = 1,188,213,981.00
  5. Step 5: Solve for x
    x = 1,188,213,981.00/54,086.71
  6. Step 6: Final answer
    x = 21,968.69

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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.