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Finding the Fourth Proportional to 177,789.80, 266,684.70 and 77,997.80

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Solution

The fourth proportional to 177,789.80, 266,684.70 and 77,997.80 is: 116,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,789.80 : 266,684.70 = 77,997.80 : x
  2. Step 2: Convert to fraction form
    177,789.80/266,684.70 = 77,997.80/x
  3. Step 3: Cross multiply
    177,789.80x = 266,684.70 × 77,997.80
  4. Step 4: Simplify right side
    177,789.80x = 20,800,819,893.66
  5. Step 5: Solve for x
    x = 20,800,819,893.66/177,789.80
  6. Step 6: Final answer
    x = 116,996.70

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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.