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Finding the Fourth Proportional to 252,565, 378,864.24 and 84,078.52

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Solution

The fourth proportional to 252,565, 378,864.24 and 84,078.52 is: 126,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,565 : 378,864.24 = 84,078.52 : x
  2. Step 2: Convert to fraction form
    252,565/378,864.24 = 84,078.52/x
  3. Step 3: Cross multiply
    252,565x = 378,864.24 × 84,078.52
  4. Step 4: Simplify right side
    252,565x = 31,854,344,580.12
  5. Step 5: Solve for x
    x = 31,854,344,580.12/252,565
  6. Step 6: Final answer
    x = 126,123.35

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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.