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Finding the Fourth Proportional to 131,855.74, 181,961.13 and 78,167.14

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Solution

The fourth proportional to 131,855.74, 181,961.13 and 78,167.14 is: 107,870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,855.74 : 181,961.13 = 78,167.14 : x
  2. Step 2: Convert to fraction form
    131,855.74/181,961.13 = 78,167.14/x
  3. Step 3: Cross multiply
    131,855.74x = 181,961.13 × 78,167.14
  4. Step 4: Simplify right side
    131,855.74x = 14,223,381,123.27
  5. Step 5: Solve for x
    x = 14,223,381,123.27/131,855.74
  6. Step 6: Final answer
    x = 107,870.78

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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.