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Finding the Fourth Proportional to 225,989, 311,863.98 and 124,016.18

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Solution

The fourth proportional to 225,989, 311,863.98 and 124,016.18 is: 171,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,989 : 311,863.98 = 124,016.18 : x
  2. Step 2: Convert to fraction form
    225,989/311,863.98 = 124,016.18/x
  3. Step 3: Cross multiply
    225,989x = 311,863.98 × 124,016.18
  4. Step 4: Simplify right side
    225,989x = 38,676,179,479.20
  5. Step 5: Solve for x
    x = 38,676,179,479.20/225,989
  6. Step 6: Final answer
    x = 171,141.87

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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.