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Finding the Fourth Proportional to 252,081.99, 347,876.78 and 138,902.31

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Solution

The fourth proportional to 252,081.99, 347,876.78 and 138,902.31 is: 191,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,081.99 : 347,876.78 = 138,902.31 : x
  2. Step 2: Convert to fraction form
    252,081.99/347,876.78 = 138,902.31/x
  3. Step 3: Cross multiply
    252,081.99x = 347,876.78 × 138,902.31
  4. Step 4: Simplify right side
    252,081.99x = 48,320,887,642.85
  5. Step 5: Solve for x
    x = 48,320,887,642.85/252,081.99
  6. Step 6: Final answer
    x = 191,687.19

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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.