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Finding the Fourth Proportional to 252,538.16, 378,540.95 and 84,013.47

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Solution

The fourth proportional to 252,538.16, 378,540.95 and 84,013.47 is: 125,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,538.16 : 378,540.95 = 84,013.47 : x
  2. Step 2: Convert to fraction form
    252,538.16/378,540.95 = 84,013.47/x
  3. Step 3: Cross multiply
    252,538.16x = 378,540.95 × 84,013.47
  4. Step 4: Simplify right side
    252,538.16x = 31,802,538,326.53
  5. Step 5: Solve for x
    x = 31,802,538,326.53/252,538.16
  6. Step 6: Final answer
    x = 125,931.62

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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.