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Finding the Fourth Proportional to 177,141.20, 266,121.40 and 121,845.20

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Solution

The fourth proportional to 177,141.20, 266,121.40 and 121,845.20 is: 183,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,141.20 : 266,121.40 = 121,845.20 : x
  2. Step 2: Convert to fraction form
    177,141.20/266,121.40 = 121,845.20/x
  3. Step 3: Cross multiply
    177,141.20x = 266,121.40 × 121,845.20
  4. Step 4: Simplify right side
    177,141.20x = 32,425,615,207.28
  5. Step 5: Solve for x
    x = 32,425,615,207.28/177,141.20
  6. Step 6: Final answer
    x = 183,049.54

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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.