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Finding the Fourth Proportional to 80,358, 120,537 and 31,110

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Solution

The fourth proportional to 80,358, 120,537 and 31,110 is: 46,665

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,358 : 120,537 = 31,110 : x
  2. Step 2: Convert to fraction form
    80,358/120,537 = 31,110/x
  3. Step 3: Cross multiply
    80,358x = 120,537 × 31,110
  4. Step 4: Simplify right side
    80,358x = 3,749,906,070
  5. Step 5: Solve for x
    x = 3,749,906,070/80,358
  6. Step 6: Final answer
    x = 46,665

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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.