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Finding the Fourth Proportional to 225,658.88, 311,412.66 and 123,683.54

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Solution

The fourth proportional to 225,658.88, 311,412.66 and 123,683.54 is: 170,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,658.88 : 311,412.66 = 123,683.54 : x
  2. Step 2: Convert to fraction form
    225,658.88/311,412.66 = 123,683.54/x
  3. Step 3: Cross multiply
    225,658.88x = 311,412.66 × 123,683.54
  4. Step 4: Simplify right side
    225,658.88x = 38,516,620,189.62
  5. Step 5: Solve for x
    x = 38,516,620,189.62/225,658.88
  6. Step 6: Final answer
    x = 170,685.15

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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.