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Finding the Fourth Proportional to 90,375, 135,560.42 and 31,205.10

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Solution

The fourth proportional to 90,375, 135,560.42 and 31,205.10 is: 46,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,375 : 135,560.42 = 31,205.10 : x
  2. Step 2: Convert to fraction form
    90,375/135,560.42 = 31,205.10/x
  3. Step 3: Cross multiply
    90,375x = 135,560.42 × 31,205.10
  4. Step 4: Simplify right side
    90,375x = 4,230,176,462.14
  5. Step 5: Solve for x
    x = 4,230,176,462.14/90,375
  6. Step 6: Final answer
    x = 46,806.93

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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.