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Finding the Fourth Proportional to 78,343.92, 117,255.90 and 71,340.05

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Solution

The fourth proportional to 78,343.92, 117,255.90 and 71,340.05 is: 106,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,343.92 : 117,255.90 = 71,340.05 : x
  2. Step 2: Convert to fraction form
    78,343.92/117,255.90 = 71,340.05/x
  3. Step 3: Cross multiply
    78,343.92x = 117,255.90 × 71,340.05
  4. Step 4: Simplify right side
    78,343.92x = 8,365,041,768.80
  5. Step 5: Solve for x
    x = 8,365,041,768.80/78,343.92
  6. Step 6: Final answer
    x = 106,773.34

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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.