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Finding the Fourth Proportional to 138,857.60, 191,621.12 and 75,194.88

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Solution

The fourth proportional to 138,857.60, 191,621.12 and 75,194.88 is: 103,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,857.60 : 191,621.12 = 75,194.88 : x
  2. Step 2: Convert to fraction form
    138,857.60/191,621.12 = 75,194.88/x
  3. Step 3: Cross multiply
    138,857.60x = 191,621.12 × 75,194.88
  4. Step 4: Simplify right side
    138,857.60x = 14,408,927,123.87
  5. Step 5: Solve for x
    x = 14,408,927,123.87/138,857.60
  6. Step 6: Final answer
    x = 103,767.65

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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.