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Finding the Fourth Proportional to 140,882.64, 194,422.86 and 77,220.42

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Solution

The fourth proportional to 140,882.64, 194,422.86 and 77,220.42 is: 106,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,882.64 : 194,422.86 = 77,220.42 : x
  2. Step 2: Convert to fraction form
    140,882.64/194,422.86 = 77,220.42/x
  3. Step 3: Cross multiply
    140,882.64x = 194,422.86 × 77,220.42
  4. Step 4: Simplify right side
    140,882.64x = 15,013,414,906.80
  5. Step 5: Solve for x
    x = 15,013,414,906.80/140,882.64
  6. Step 6: Final answer
    x = 106,566.82

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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.