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Finding the Fourth Proportional to 90,198.46, 135,344.39 and 65,442.84

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Solution

The fourth proportional to 90,198.46, 135,344.39 and 65,442.84 is: 98,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,198.46 : 135,344.39 = 65,442.84 : x
  2. Step 2: Convert to fraction form
    90,198.46/135,344.39 = 65,442.84/x
  3. Step 3: Cross multiply
    90,198.46x = 135,344.39 × 65,442.84
  4. Step 4: Simplify right side
    90,198.46x = 8,857,320,424.91
  5. Step 5: Solve for x
    x = 8,857,320,424.91/90,198.46
  6. Step 6: Final answer
    x = 98,198.13

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1.5x scale

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.