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Finding the Fourth Proportional to 180,003.70, 269,746.35 and 80,082.10

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Solution

The fourth proportional to 180,003.70, 269,746.35 and 80,082.10 is: 120,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,003.70 : 269,746.35 = 80,082.10 : x
  2. Step 2: Convert to fraction form
    180,003.70/269,746.35 = 80,082.10/x
  3. Step 3: Cross multiply
    180,003.70x = 269,746.35 × 80,082.10
  4. Step 4: Simplify right side
    180,003.70x = 21,601,854,175.34
  5. Step 5: Solve for x
    x = 21,601,854,175.34/180,003.70
  6. Step 6: Final answer
    x = 120,007.83

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1.5x scale

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.