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Finding the Fourth Proportional to 252,087.78, 378,192 and 72,175.70

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Solution

The fourth proportional to 252,087.78, 378,192 and 72,175.70 is: 108,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,087.78 : 378,192 = 72,175.70 : x
  2. Step 2: Convert to fraction form
    252,087.78/378,192 = 72,175.70/x
  3. Step 3: Cross multiply
    252,087.78x = 378,192 × 72,175.70
  4. Step 4: Simplify right side
    252,087.78x = 27,296,272,334.40
  5. Step 5: Solve for x
    x = 27,296,272,334.40/252,087.78
  6. Step 6: Final answer
    x = 108,280.82

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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.