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Finding the Fourth Proportional to 225,882.59, 311,727.80 and 135,221.07

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Solution

The fourth proportional to 225,882.59, 311,727.80 and 135,221.07 is: 186,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,882.59 : 311,727.80 = 135,221.07 : x
  2. Step 2: Convert to fraction form
    225,882.59/311,727.80 = 135,221.07/x
  3. Step 3: Cross multiply
    225,882.59x = 311,727.80 × 135,221.07
  4. Step 4: Simplify right side
    225,882.59x = 42,152,167,485.20
  5. Step 5: Solve for x
    x = 42,152,167,485.20/225,882.59
  6. Step 6: Final answer
    x = 186,610.97

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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.