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Finding the Fourth Proportional to 90,560.62, 135,841 and 31,396.34

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Solution

The fourth proportional to 90,560.62, 135,841 and 31,396.34 is: 47,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,560.62 : 135,841 = 31,396.34 : x
  2. Step 2: Convert to fraction form
    90,560.62/135,841 = 31,396.34/x
  3. Step 3: Cross multiply
    90,560.62x = 135,841 × 31,396.34
  4. Step 4: Simplify right side
    90,560.62x = 4,264,910,221.94
  5. Step 5: Solve for x
    x = 4,264,910,221.94/90,560.62
  6. Step 6: Final answer
    x = 47,094.53

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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.