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Finding the Fourth Proportional to 78,769.31, 118,119.41 and 29,486.75

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Solution

The fourth proportional to 78,769.31, 118,119.41 and 29,486.75 is: 44,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,769.31 : 118,119.41 = 29,486.75 : x
  2. Step 2: Convert to fraction form
    78,769.31/118,119.41 = 29,486.75/x
  3. Step 3: Cross multiply
    78,769.31x = 118,119.41 × 29,486.75
  4. Step 4: Simplify right side
    78,769.31x = 3,482,957,365.38
  5. Step 5: Solve for x
    x = 3,482,957,365.38/78,769.31
  6. Step 6: Final answer
    x = 44,217.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.