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Finding the Fourth Proportional to 225,689.08, 311,531.82 and 154,017.88

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Solution

The fourth proportional to 225,689.08, 311,531.82 and 154,017.88 is: 212,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,689.08 : 311,531.82 = 154,017.88 : x
  2. Step 2: Convert to fraction form
    225,689.08/311,531.82 = 154,017.88/x
  3. Step 3: Cross multiply
    225,689.08x = 311,531.82 × 154,017.88
  4. Step 4: Simplify right side
    225,689.08x = 47,981,470,468.94
  5. Step 5: Solve for x
    x = 47,981,470,468.94/225,689.08
  6. Step 6: Final answer
    x = 212,599.88

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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.