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Finding the Fourth Proportional to 90,562.80, 135,906.48 and 31,398.47

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Solution

The fourth proportional to 90,562.80, 135,906.48 and 31,398.47 is: 47,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,562.80 : 135,906.48 = 31,398.47 : x
  2. Step 2: Convert to fraction form
    90,562.80/135,906.48 = 31,398.47/x
  3. Step 3: Cross multiply
    90,562.80x = 135,906.48 × 31,398.47
  4. Step 4: Simplify right side
    90,562.80x = 4,267,255,567.89
  5. Step 5: Solve for x
    x = 4,267,255,567.89/90,562.80
  6. Step 6: Final answer
    x = 47,119.30

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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.