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Finding the Fourth Proportional to 78,679.26, 108,618.43 and 61,414.56

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Solution

The fourth proportional to 78,679.26, 108,618.43 and 61,414.56 is: 84,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,679.26 : 108,618.43 = 61,414.56 : x
  2. Step 2: Convert to fraction form
    78,679.26/108,618.43 = 61,414.56/x
  3. Step 3: Cross multiply
    78,679.26x = 108,618.43 × 61,414.56
  4. Step 4: Simplify right side
    78,679.26x = 6,670,752,236.18
  5. Step 5: Solve for x
    x = 6,670,752,236.18/78,679.26
  6. Step 6: Final answer
    x = 84,784.13

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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.