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Finding the Fourth Proportional to 54,754.30, 82,070.70 and 21,463.30

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Solution

The fourth proportional to 54,754.30, 82,070.70 and 21,463.30 is: 32,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,754.30 : 82,070.70 = 21,463.30 : x
  2. Step 2: Convert to fraction form
    54,754.30/82,070.70 = 21,463.30/x
  3. Step 3: Cross multiply
    54,754.30x = 82,070.70 × 21,463.30
  4. Step 4: Simplify right side
    54,754.30x = 1,761,508,055.31
  5. Step 5: Solve for x
    x = 1,761,508,055.31/54,754.30
  6. Step 6: Final answer
    x = 32,171.14

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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.