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Finding the Fourth Proportional to 252,538.66, 378,541.70 and 84,013.97

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Solution

The fourth proportional to 252,538.66, 378,541.70 and 84,013.97 is: 125,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,538.66 : 378,541.70 = 84,013.97 : x
  2. Step 2: Convert to fraction form
    252,538.66/378,541.70 = 84,013.97/x
  3. Step 3: Cross multiply
    252,538.66x = 378,541.70 × 84,013.97
  4. Step 4: Simplify right side
    252,538.66x = 31,802,790,607.48
  5. Step 5: Solve for x
    x = 31,802,790,607.48/252,538.66
  6. Step 6: Final answer
    x = 125,932.37

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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.