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Finding the Fourth Proportional to 80,114.70, 120,013.54 and 65,138.54

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Solution

The fourth proportional to 80,114.70, 120,013.54 and 65,138.54 is: 97,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,114.70 : 120,013.54 = 65,138.54 : x
  2. Step 2: Convert to fraction form
    80,114.70/120,013.54 = 65,138.54/x
  3. Step 3: Cross multiply
    80,114.70x = 120,013.54 × 65,138.54
  4. Step 4: Simplify right side
    80,114.70x = 7,817,506,775.83
  5. Step 5: Solve for x
    x = 7,817,506,775.83/80,114.70
  6. Step 6: Final answer
    x = 97,578.93

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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.