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Finding the Fourth Proportional to 252,102, 347,900.76 and 138,924.75

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Solution

The fourth proportional to 252,102, 347,900.76 and 138,924.75 is: 191,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,102 : 347,900.76 = 138,924.75 : x
  2. Step 2: Convert to fraction form
    252,102/347,900.76 = 138,924.75/x
  3. Step 3: Cross multiply
    252,102x = 347,900.76 × 138,924.75
  4. Step 4: Simplify right side
    252,102x = 48,332,026,107.81
  5. Step 5: Solve for x
    x = 48,332,026,107.81/252,102
  6. Step 6: Final answer
    x = 191,716.16

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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.