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Finding the Fourth Proportional to 80,488.98, 120,733.47 and 27,898.47

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Solution

The fourth proportional to 80,488.98, 120,733.47 and 27,898.47 is: 41,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,488.98 : 120,733.47 = 27,898.47 : x
  2. Step 2: Convert to fraction form
    80,488.98/120,733.47 = 27,898.47/x
  3. Step 3: Cross multiply
    80,488.98x = 120,733.47 × 27,898.47
  4. Step 4: Simplify right side
    80,488.98x = 3,368,279,090.79
  5. Step 5: Solve for x
    x = 3,368,279,090.79/80,488.98
  6. Step 6: Final answer
    x = 41,847.71

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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.