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Finding the Fourth Proportional to 171,740, 237,001.20 and 100,123.04

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Solution

The fourth proportional to 171,740, 237,001.20 and 100,123.04 is: 138,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,740 : 237,001.20 = 100,123.04 : x
  2. Step 2: Convert to fraction form
    171,740/237,001.20 = 100,123.04/x
  3. Step 3: Cross multiply
    171,740x = 237,001.20 × 100,123.04
  4. Step 4: Simplify right side
    171,740x = 23,729,280,627.65
  5. Step 5: Solve for x
    x = 23,729,280,627.65/171,740
  6. Step 6: Final answer
    x = 138,169.80

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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.