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Finding the Fourth Proportional to 80,386, 120,579 and 31,138

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Solution

The fourth proportional to 80,386, 120,579 and 31,138 is: 46,707

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,386 : 120,579 = 31,138 : x
  2. Step 2: Convert to fraction form
    80,386/120,579 = 31,138/x
  3. Step 3: Cross multiply
    80,386x = 120,579 × 31,138
  4. Step 4: Simplify right side
    80,386x = 3,754,588,902
  5. Step 5: Solve for x
    x = 3,754,588,902/80,386
  6. Step 6: Final answer
    x = 46,707

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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.