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Finding the Fourth Proportional to 80,635.15, 110,982.72 and 71,012.11

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Solution

The fourth proportional to 80,635.15, 110,982.72 and 71,012.11 is: 97,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,635.15 : 110,982.72 = 71,012.11 : x
  2. Step 2: Convert to fraction form
    80,635.15/110,982.72 = 71,012.11/x
  3. Step 3: Cross multiply
    80,635.15x = 110,982.72 × 71,012.11
  4. Step 4: Simplify right side
    80,635.15x = 7,881,117,120.74
  5. Step 5: Solve for x
    x = 7,881,117,120.74/80,635.15
  6. Step 6: Final answer
    x = 97,737.99

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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.