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Finding the Fourth Proportional to 90,381, 135,618.78 and 65,625.54

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Solution

The fourth proportional to 90,381, 135,618.78 and 65,625.54 is: 98,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,381 : 135,618.78 = 65,625.54 : x
  2. Step 2: Convert to fraction form
    90,381/135,618.78 = 65,625.54/x
  3. Step 3: Cross multiply
    90,381x = 135,618.78 × 65,625.54
  4. Step 4: Simplify right side
    90,381x = 8,900,055,671.64
  5. Step 5: Solve for x
    x = 8,900,055,671.64/90,381
  6. Step 6: Final answer
    x = 98,472.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.