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Finding the Fourth Proportional to 140,859.28, 194,387.52 and 77,195.71

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Solution

The fourth proportional to 140,859.28, 194,387.52 and 77,195.71 is: 106,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,859.28 : 194,387.52 = 77,195.71 : x
  2. Step 2: Convert to fraction form
    140,859.28/194,387.52 = 77,195.71/x
  3. Step 3: Cross multiply
    140,859.28x = 194,387.52 × 77,195.71
  4. Step 4: Simplify right side
    140,859.28x = 15,005,882,621.54
  5. Step 5: Solve for x
    x = 15,005,882,621.54/140,859.28
  6. Step 6: Final answer
    x = 106,531.02

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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.