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Finding the Fourth Proportional to 78,834, 108,793.22 and 43,026.30

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Solution

The fourth proportional to 78,834, 108,793.22 and 43,026.30 is: 59,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,834 : 108,793.22 = 43,026.30 : x
  2. Step 2: Convert to fraction form
    78,834/108,793.22 = 43,026.30/x
  3. Step 3: Cross multiply
    78,834x = 108,793.22 × 43,026.30
  4. Step 4: Simplify right side
    78,834x = 4,680,969,506.55
  5. Step 5: Solve for x
    x = 4,680,969,506.55/78,834
  6. Step 6: Final answer
    x = 59,377.55

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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.