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Finding the Fourth Proportional to 78,876.88, 108,849.26 and 43,066.78

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Solution

The fourth proportional to 78,876.88, 108,849.26 and 43,066.78 is: 59,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,876.88 : 108,849.26 = 43,066.78 : x
  2. Step 2: Convert to fraction form
    78,876.88/108,849.26 = 43,066.78/x
  3. Step 3: Cross multiply
    78,876.88x = 108,849.26 × 43,066.78
  4. Step 4: Simplify right side
    78,876.88x = 4,687,787,133.58
  5. Step 5: Solve for x
    x = 4,687,787,133.58/78,876.88
  6. Step 6: Final answer
    x = 59,431.70

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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.