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Finding the Fourth Proportional to 177,817.80, 266,078.70 and 131,161.80

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Solution

The fourth proportional to 177,817.80, 266,078.70 and 131,161.80 is: 196,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,817.80 : 266,078.70 = 131,161.80 : x
  2. Step 2: Convert to fraction form
    177,817.80/266,078.70 = 131,161.80/x
  3. Step 3: Cross multiply
    177,817.80x = 266,078.70 × 131,161.80
  4. Step 4: Simplify right side
    177,817.80x = 34,899,361,233.66
  5. Step 5: Solve for x
    x = 34,899,361,233.66/177,817.80
  6. Step 6: Final answer
    x = 196,264.72

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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.