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Finding the Fourth Proportional to 225,423.50, 311,082.20 and 122,057.20

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Solution

The fourth proportional to 225,423.50, 311,082.20 and 122,057.20 is: 168,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,423.50 : 311,082.20 = 122,057.20 : x
  2. Step 2: Convert to fraction form
    225,423.50/311,082.20 = 122,057.20/x
  3. Step 3: Cross multiply
    225,423.50x = 311,082.20 × 122,057.20
  4. Step 4: Simplify right side
    225,423.50x = 37,969,822,301.84
  5. Step 5: Solve for x
    x = 37,969,822,301.84/225,423.50
  6. Step 6: Final answer
    x = 168,437.73

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1.5x scale

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.