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Finding the Fourth Proportional to 80,116.70, 120,016.54 and 65,140.54

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Solution

The fourth proportional to 80,116.70, 120,016.54 and 65,140.54 is: 97,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,116.70 : 120,016.54 = 65,140.54 : x
  2. Step 2: Convert to fraction form
    80,116.70/120,016.54 = 65,140.54/x
  3. Step 3: Cross multiply
    80,116.70x = 120,016.54 × 65,140.54
  4. Step 4: Simplify right side
    80,116.70x = 7,817,942,224.53
  5. Step 5: Solve for x
    x = 7,817,942,224.53/80,116.70
  6. Step 6: Final answer
    x = 97,581.93

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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.