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Finding the Fourth Proportional to 225,668, 311,421.84 and 125,072.48

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Solution

The fourth proportional to 225,668, 311,421.84 and 125,072.48 is: 172,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,668 : 311,421.84 = 125,072.48 : x
  2. Step 2: Convert to fraction form
    225,668/311,421.84 = 125,072.48/x
  3. Step 3: Cross multiply
    225,668x = 311,421.84 × 125,072.48
  4. Step 4: Simplify right side
    225,668x = 38,950,301,854.96
  5. Step 5: Solve for x
    x = 38,950,301,854.96/225,668
  6. Step 6: Final answer
    x = 172,600.02

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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.