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Finding the Fourth Proportional to 80,115.70, 120,015.04 and 65,139.54

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Solution

The fourth proportional to 80,115.70, 120,015.04 and 65,139.54 is: 97,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,115.70 : 120,015.04 = 65,139.54 : x
  2. Step 2: Convert to fraction form
    80,115.70/120,015.04 = 65,139.54/x
  3. Step 3: Cross multiply
    80,115.70x = 120,015.04 × 65,139.54
  4. Step 4: Simplify right side
    80,115.70x = 7,817,724,498.68
  5. Step 5: Solve for x
    x = 7,817,724,498.68/80,115.70
  6. Step 6: Final answer
    x = 97,580.43

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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.