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Finding the Fourth Proportional to 225,818.69, 311,540.88 and 130,306.93

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Solution

The fourth proportional to 225,818.69, 311,540.88 and 130,306.93 is: 179,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,818.69 : 311,540.88 = 130,306.93 : x
  2. Step 2: Convert to fraction form
    225,818.69/311,540.88 = 130,306.93/x
  3. Step 3: Cross multiply
    225,818.69x = 311,540.88 × 130,306.93
  4. Step 4: Simplify right side
    225,818.69x = 40,595,935,352.10
  5. Step 5: Solve for x
    x = 40,595,935,352.10/225,818.69
  6. Step 6: Final answer
    x = 179,772.26

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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.