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Finding the Fourth Proportional to 138,841.95, 191,601.61 and 75,179.94

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Solution

The fourth proportional to 138,841.95, 191,601.61 and 75,179.94 is: 103,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,841.95 : 191,601.61 = 75,179.94 : x
  2. Step 2: Convert to fraction form
    138,841.95/191,601.61 = 75,179.94/x
  3. Step 3: Cross multiply
    138,841.95x = 191,601.61 × 75,179.94
  4. Step 4: Simplify right side
    138,841.95x = 14,404,597,543.70
  5. Step 5: Solve for x
    x = 14,404,597,543.70/138,841.95
  6. Step 6: Final answer
    x = 103,748.17

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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.