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Finding the Fourth Proportional to 227,906.80, 342,078.90 and 115,713.70

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Solution

The fourth proportional to 227,906.80, 342,078.90 and 115,713.70 is: 173,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,906.80 : 342,078.90 = 115,713.70 : x
  2. Step 2: Convert to fraction form
    227,906.80/342,078.90 = 115,713.70/x
  3. Step 3: Cross multiply
    227,906.80x = 342,078.90 × 115,713.70
  4. Step 4: Simplify right side
    227,906.80x = 39,583,215,210.93
  5. Step 5: Solve for x
    x = 39,583,215,210.93/227,906.80
  6. Step 6: Final answer
    x = 173,681.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.