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Finding the Fourth Proportional to 80,878.56, 121,317.84 and 31,596

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Solution

The fourth proportional to 80,878.56, 121,317.84 and 31,596 is: 47,394

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,878.56 : 121,317.84 = 31,596 : x
  2. Step 2: Convert to fraction form
    80,878.56/121,317.84 = 31,596/x
  3. Step 3: Cross multiply
    80,878.56x = 121,317.84 × 31,596
  4. Step 4: Simplify right side
    80,878.56x = 3,833,158,472.64
  5. Step 5: Solve for x
    x = 3,833,158,472.64/80,878.56
  6. Step 6: Final answer
    x = 47,394

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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.