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Finding the Fourth Proportional to 80,672.30, 120,778.05 and 78,368.30

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Solution

The fourth proportional to 80,672.30, 120,778.05 and 78,368.30 is: 117,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,672.30 : 120,778.05 = 78,368.30 : x
  2. Step 2: Convert to fraction form
    80,672.30/120,778.05 = 78,368.30/x
  3. Step 3: Cross multiply
    80,672.30x = 120,778.05 × 78,368.30
  4. Step 4: Simplify right side
    80,672.30x = 9,465,170,455.82
  5. Step 5: Solve for x
    x = 9,465,170,455.82/80,672.30
  6. Step 6: Final answer
    x = 117,328.63

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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.