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Finding the Fourth Proportional to 225,209.85, 310,786.87 and 123,234.18

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Solution

The fourth proportional to 225,209.85, 310,786.87 and 123,234.18 is: 170,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,209.85 : 310,786.87 = 123,234.18 : x
  2. Step 2: Convert to fraction form
    225,209.85/310,786.87 = 123,234.18/x
  3. Step 3: Cross multiply
    225,209.85x = 310,786.87 × 123,234.18
  4. Step 4: Simplify right side
    225,209.85x = 38,299,565,079.22
  5. Step 5: Solve for x
    x = 38,299,565,079.22/225,209.85
  6. Step 6: Final answer
    x = 170,061.68

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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.