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Finding the Fourth Proportional to 149,760, 206,691.84 and 90,178.56

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Solution

The fourth proportional to 149,760, 206,691.84 and 90,178.56 is: 124,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,760 : 206,691.84 = 90,178.56 : x
  2. Step 2: Convert to fraction form
    149,760/206,691.84 = 90,178.56/x
  3. Step 3: Cross multiply
    149,760x = 206,691.84 × 90,178.56
  4. Step 4: Simplify right side
    149,760x = 18,639,172,494.95
  5. Step 5: Solve for x
    x = 18,639,172,494.95/149,760
  6. Step 6: Final answer
    x = 124,460.29

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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.