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Finding the Fourth Proportional to 252,080, 347,877.72 and 138,910.04

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Solution

The fourth proportional to 252,080, 347,877.72 and 138,910.04 is: 191,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,080 : 347,877.72 = 138,910.04 : x
  2. Step 2: Convert to fraction form
    252,080/347,877.72 = 138,910.04/x
  3. Step 3: Cross multiply
    252,080x = 347,877.72 × 138,910.04
  4. Step 4: Simplify right side
    252,080x = 48,323,708,000.31
  5. Step 5: Solve for x
    x = 48,323,708,000.31/252,080
  6. Step 6: Final answer
    x = 191,699.89

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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.