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Finding the Fourth Proportional to 83,451, 115,162.38 and 49,917

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Solution

The fourth proportional to 83,451, 115,162.38 and 49,917 is: 68,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,451 : 115,162.38 = 49,917 : x
  2. Step 2: Convert to fraction form
    83,451/115,162.38 = 49,917/x
  3. Step 3: Cross multiply
    83,451x = 115,162.38 × 49,917
  4. Step 4: Simplify right side
    83,451x = 5,748,560,522.46
  5. Step 5: Solve for x
    x = 5,748,560,522.46/83,451
  6. Step 6: Final answer
    x = 68,885.46

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1.5x scale

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.