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Finding the Fourth Proportional to 225,854.43, 311,676.99 and 123,877.80

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Solution

The fourth proportional to 225,854.43, 311,676.99 and 123,877.80 is: 170,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,854.43 : 311,676.99 = 123,877.80 : x
  2. Step 2: Convert to fraction form
    225,854.43/311,676.99 = 123,877.80/x
  3. Step 3: Cross multiply
    225,854.43x = 311,676.99 × 123,877.80
  4. Step 4: Simplify right side
    225,854.43x = 38,609,859,831.82
  5. Step 5: Solve for x
    x = 38,609,859,831.82/225,854.43
  6. Step 6: Final answer
    x = 170,950.20

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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.