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Finding the Fourth Proportional to 178,100.80, 267,151.20 and 84,788.80

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Solution

The fourth proportional to 178,100.80, 267,151.20 and 84,788.80 is: 127,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,100.80 : 267,151.20 = 84,788.80 : x
  2. Step 2: Convert to fraction form
    178,100.80/267,151.20 = 84,788.80/x
  3. Step 3: Cross multiply
    178,100.80x = 267,151.20 × 84,788.80
  4. Step 4: Simplify right side
    178,100.80x = 22,651,429,666.56
  5. Step 5: Solve for x
    x = 22,651,429,666.56/178,100.80
  6. Step 6: Final answer
    x = 127,183.20

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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.