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Finding the Fourth Proportional to 83,540.96, 115,261.33 and 51,242.39

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Solution

The fourth proportional to 83,540.96, 115,261.33 and 51,242.39 is: 70,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,540.96 : 115,261.33 = 51,242.39 : x
  2. Step 2: Convert to fraction form
    83,540.96/115,261.33 = 51,242.39/x
  3. Step 3: Cross multiply
    83,540.96x = 115,261.33 × 51,242.39
  4. Step 4: Simplify right side
    83,540.96x = 5,906,266,023.78
  5. Step 5: Solve for x
    x = 5,906,266,023.78/83,540.96
  6. Step 6: Final answer
    x = 70,699.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.