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Finding the Fourth Proportional to 252,078.29, 347,884.89 and 138,901.04

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Solution

The fourth proportional to 252,078.29, 347,884.89 and 138,901.04 is: 191,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,078.29 : 347,884.89 = 138,901.04 : x
  2. Step 2: Convert to fraction form
    252,078.29/347,884.89 = 138,901.04/x
  3. Step 3: Cross multiply
    252,078.29x = 347,884.89 × 138,901.04
  4. Step 4: Simplify right side
    252,078.29x = 48,321,571,281.86
  5. Step 5: Solve for x
    x = 48,321,571,281.86/252,078.29
  6. Step 6: Final answer
    x = 191,692.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.