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Finding the Fourth Proportional to 80,642.66, 120,974.92 and 28,045.31

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Solution

The fourth proportional to 80,642.66, 120,974.92 and 28,045.31 is: 42,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,642.66 : 120,974.92 = 28,045.31 : x
  2. Step 2: Convert to fraction form
    80,642.66/120,974.92 = 28,045.31/x
  3. Step 3: Cross multiply
    80,642.66x = 120,974.92 × 28,045.31
  4. Step 4: Simplify right side
    80,642.66x = 3,392,778,458.64
  5. Step 5: Solve for x
    x = 3,392,778,458.64/80,642.66
  6. Step 6: Final answer
    x = 42,071.76

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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.