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Finding the Fourth Proportional to 90,523.68, 135,753.12 and 31,343.46

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Solution

The fourth proportional to 90,523.68, 135,753.12 and 31,343.46 is: 47,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,523.68 : 135,753.12 = 31,343.46 : x
  2. Step 2: Convert to fraction form
    90,523.68/135,753.12 = 31,343.46/x
  3. Step 3: Cross multiply
    90,523.68x = 135,753.12 × 31,343.46
  4. Step 4: Simplify right side
    90,523.68x = 4,254,972,486.60
  5. Step 5: Solve for x
    x = 4,254,972,486.60/90,523.68
  6. Step 6: Final answer
    x = 47,003.97

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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.