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Finding the Fourth Proportional to 252,101.75, 347,904.06 and 138,924.50

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Solution

The fourth proportional to 252,101.75, 347,904.06 and 138,924.50 is: 191,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,101.75 : 347,904.06 = 138,924.50 : x
  2. Step 2: Convert to fraction form
    252,101.75/347,904.06 = 138,924.50/x
  3. Step 3: Cross multiply
    252,101.75x = 347,904.06 × 138,924.50
  4. Step 4: Simplify right side
    252,101.75x = 48,332,397,583.47
  5. Step 5: Solve for x
    x = 48,332,397,583.47/252,101.75
  6. Step 6: Final answer
    x = 191,717.82

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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.