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Finding the Fourth Proportional to 252,099.70, 347,881.14 and 138,922.42

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Solution

The fourth proportional to 252,099.70, 347,881.14 and 138,922.42 is: 191,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,099.70 : 347,881.14 = 138,922.42 : x
  2. Step 2: Convert to fraction form
    252,099.70/347,881.14 = 138,922.42/x
  3. Step 3: Cross multiply
    252,099.70x = 347,881.14 × 138,922.42
  4. Step 4: Simplify right side
    252,099.70x = 48,328,489,841.16
  5. Step 5: Solve for x
    x = 48,328,489,841.16/252,099.70
  6. Step 6: Final answer
    x = 191,703.88

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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.