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Finding the Fourth Proportional to 166,105.70, 249,149.61 and 81,781.80

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Solution

The fourth proportional to 166,105.70, 249,149.61 and 81,781.80 is: 122,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,105.70 : 249,149.61 = 81,781.80 : x
  2. Step 2: Convert to fraction form
    166,105.70/249,149.61 = 81,781.80/x
  3. Step 3: Cross multiply
    166,105.70x = 249,149.61 × 81,781.80
  4. Step 4: Simplify right side
    166,105.70x = 20,375,902,329.35
  5. Step 5: Solve for x
    x = 20,375,902,329.35/166,105.70
  6. Step 6: Final answer
    x = 122,668.29

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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.