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Finding the Fourth Proportional to 120,590.66, 166,472.26 and 80,371.46

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Solution

The fourth proportional to 120,590.66, 166,472.26 and 80,371.46 is: 110,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,590.66 : 166,472.26 = 80,371.46 : x
  2. Step 2: Convert to fraction form
    120,590.66/166,472.26 = 80,371.46/x
  3. Step 3: Cross multiply
    120,590.66x = 166,472.26 × 80,371.46
  4. Step 4: Simplify right side
    120,590.66x = 13,379,618,585.70
  5. Step 5: Solve for x
    x = 13,379,618,585.70/120,590.66
  6. Step 6: Final answer
    x = 110,950.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.