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Finding the Fourth Proportional to 178,742.80, 268,308.60 and 100,010.80

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Solution

The fourth proportional to 178,742.80, 268,308.60 and 100,010.80 is: 150,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,742.80 : 268,308.60 = 100,010.80 : x
  2. Step 2: Convert to fraction form
    178,742.80/268,308.60 = 100,010.80/x
  3. Step 3: Cross multiply
    178,742.80x = 268,308.60 × 100,010.80
  4. Step 4: Simplify right side
    178,742.80x = 26,833,757,732.88
  5. Step 5: Solve for x
    x = 26,833,757,732.88/178,742.80
  6. Step 6: Final answer
    x = 150,124.97

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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.