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Finding the Fourth Proportional to 80,113.70, 120,012.05 and 65,137.54

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Solution

The fourth proportional to 80,113.70, 120,012.05 and 65,137.54 is: 97,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,113.70 : 120,012.05 = 65,137.54 : x
  2. Step 2: Convert to fraction form
    80,113.70/120,012.05 = 65,137.54/x
  3. Step 3: Cross multiply
    80,113.70x = 120,012.05 × 65,137.54
  4. Step 4: Simplify right side
    80,113.70x = 7,817,288,781.61
  5. Step 5: Solve for x
    x = 7,817,288,781.61/80,113.70
  6. Step 6: Final answer
    x = 97,577.43

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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.