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Finding the Fourth Proportional to 78,876.60, 118,314.90 and 61,161.90

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Solution

The fourth proportional to 78,876.60, 118,314.90 and 61,161.90 is: 91,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,876.60 : 118,314.90 = 61,161.90 : x
  2. Step 2: Convert to fraction form
    78,876.60/118,314.90 = 61,161.90/x
  3. Step 3: Cross multiply
    78,876.60x = 118,314.90 × 61,161.90
  4. Step 4: Simplify right side
    78,876.60x = 7,236,364,082.31
  5. Step 5: Solve for x
    x = 7,236,364,082.31/78,876.60
  6. Step 6: Final answer
    x = 91,742.85

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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.