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Finding the Fourth Proportional to 225,659.62, 311,414.12 and 123,683.05

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Solution

The fourth proportional to 225,659.62, 311,414.12 and 123,683.05 is: 170,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,659.62 : 311,414.12 = 123,683.05 : x
  2. Step 2: Convert to fraction form
    225,659.62/311,414.12 = 123,683.05/x
  3. Step 3: Cross multiply
    225,659.62x = 311,414.12 × 123,683.05
  4. Step 4: Simplify right side
    225,659.62x = 38,516,648,174.67
  5. Step 5: Solve for x
    x = 38,516,648,174.67/225,659.62
  6. Step 6: Final answer
    x = 170,684.72

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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.