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Finding the Fourth Proportional to 252,564, 378,862.74 and 84,077.52

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Solution

The fourth proportional to 252,564, 378,862.74 and 84,077.52 is: 126,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,564 : 378,862.74 = 84,077.52 : x
  2. Step 2: Convert to fraction form
    252,564/378,862.74 = 84,077.52/x
  3. Step 3: Cross multiply
    252,564x = 378,862.74 × 84,077.52
  4. Step 4: Simplify right side
    252,564x = 31,853,839,599.60
  5. Step 5: Solve for x
    x = 31,853,839,599.60/252,564
  6. Step 6: Final answer
    x = 126,121.85

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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.