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Finding the Fourth Proportional to 140,876.28, 194,410.98 and 77,212.71

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Solution

The fourth proportional to 140,876.28, 194,410.98 and 77,212.71 is: 106,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,876.28 : 194,410.98 = 77,212.71 : x
  2. Step 2: Convert to fraction form
    140,876.28/194,410.98 = 77,212.71/x
  3. Step 3: Cross multiply
    140,876.28x = 194,410.98 × 77,212.71
  4. Step 4: Simplify right side
    140,876.28x = 15,010,998,619.56
  5. Step 5: Solve for x
    x = 15,010,998,619.56/140,876.28
  6. Step 6: Final answer
    x = 106,554.48

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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.