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Finding the Fourth Proportional to 83,891, 115,769.96 and 48,083.12

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Solution

The fourth proportional to 83,891, 115,769.96 and 48,083.12 is: 66,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,891 : 115,769.96 = 48,083.12 : x
  2. Step 2: Convert to fraction form
    83,891/115,769.96 = 48,083.12/x
  3. Step 3: Cross multiply
    83,891x = 115,769.96 × 48,083.12
  4. Step 4: Simplify right side
    83,891x = 5,566,580,879.08
  5. Step 5: Solve for x
    x = 5,566,580,879.08/83,891
  6. Step 6: Final answer
    x = 66,354.92

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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.