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Finding the Fourth Proportional to 54,654.61, 81,974.13 and 17,213.71

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Solution

The fourth proportional to 54,654.61, 81,974.13 and 17,213.71 is: 25,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,654.61 : 81,974.13 = 17,213.71 : x
  2. Step 2: Convert to fraction form
    54,654.61/81,974.13 = 17,213.71/x
  3. Step 3: Cross multiply
    54,654.61x = 81,974.13 × 17,213.71
  4. Step 4: Simplify right side
    54,654.61x = 1,411,078,901.32
  5. Step 5: Solve for x
    x = 1,411,078,901.32/54,654.61
  6. Step 6: Final answer
    x = 25,818.11

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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.