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Finding the Fourth Proportional to 272,098, 408,151.15 and 103,627.65

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Solution

The fourth proportional to 272,098, 408,151.15 and 103,627.65 is: 155,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,098 : 408,151.15 = 103,627.65 : x
  2. Step 2: Convert to fraction form
    272,098/408,151.15 = 103,627.65/x
  3. Step 3: Cross multiply
    272,098x = 408,151.15 × 103,627.65
  4. Step 4: Simplify right side
    272,098x = 42,295,744,519.30
  5. Step 5: Solve for x
    x = 42,295,744,519.30/272,098
  6. Step 6: Final answer
    x = 155,443.06

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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.