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Finding the Fourth Proportional to 83,839.32, 115,693.11 and 48,021.12

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Solution

The fourth proportional to 83,839.32, 115,693.11 and 48,021.12 is: 66,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,839.32 : 115,693.11 = 48,021.12 : x
  2. Step 2: Convert to fraction form
    83,839.32/115,693.11 = 48,021.12/x
  3. Step 3: Cross multiply
    83,839.32x = 115,693.11 × 48,021.12
  4. Step 4: Simplify right side
    83,839.32x = 5,555,712,718.48
  5. Step 5: Solve for x
    x = 5,555,712,718.48/83,839.32
  6. Step 6: Final answer
    x = 66,266.19

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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.