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Finding the Fourth Proportional to 92,148.80, 138,229.46 and 31,334.30

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Solution

The fourth proportional to 92,148.80, 138,229.46 and 31,334.30 is: 47,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,148.80 : 138,229.46 = 31,334.30 : x
  2. Step 2: Convert to fraction form
    92,148.80/138,229.46 = 31,334.30/x
  3. Step 3: Cross multiply
    92,148.80x = 138,229.46 × 31,334.30
  4. Step 4: Simplify right side
    92,148.80x = 4,331,322,520.66
  5. Step 5: Solve for x
    x = 4,331,322,520.66/92,148.80
  6. Step 6: Final answer
    x = 47,003.57

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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.