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Finding the Fourth Proportional to 83,052, 114,613.38 and 49,518

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Solution

The fourth proportional to 83,052, 114,613.38 and 49,518 is: 68,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,052 : 114,613.38 = 49,518 : x
  2. Step 2: Convert to fraction form
    83,052/114,613.38 = 49,518/x
  3. Step 3: Cross multiply
    83,052x = 114,613.38 × 49,518
  4. Step 4: Simplify right side
    83,052x = 5,675,425,350.84
  5. Step 5: Solve for x
    x = 5,675,425,350.84/83,052
  6. Step 6: Final answer
    x = 68,335.81

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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.