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Finding the Fourth Proportional to 225,545.31, 311,247.77 and 123,565.80

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Solution

The fourth proportional to 225,545.31, 311,247.77 and 123,565.80 is: 170,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,545.31 : 311,247.77 = 123,565.80 : x
  2. Step 2: Convert to fraction form
    225,545.31/311,247.77 = 123,565.80/x
  3. Step 3: Cross multiply
    225,545.31x = 311,247.77 × 123,565.80
  4. Step 4: Simplify right side
    225,545.31x = 38,459,580,247.62
  5. Step 5: Solve for x
    x = 38,459,580,247.62/225,545.31
  6. Step 6: Final answer
    x = 170,518.20

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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.