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Finding the Fourth Proportional to 90,691.59, 135,811.13 and 57,310.95

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Solution

The fourth proportional to 90,691.59, 135,811.13 and 57,310.95 is: 85,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,691.59 : 135,811.13 = 57,310.95 : x
  2. Step 2: Convert to fraction form
    90,691.59/135,811.13 = 57,310.95/x
  3. Step 3: Cross multiply
    90,691.59x = 135,811.13 × 57,310.95
  4. Step 4: Simplify right side
    90,691.59x = 7,783,464,594.32
  5. Step 5: Solve for x
    x = 7,783,464,594.32/90,691.59
  6. Step 6: Final answer
    x = 85,823.44

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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.