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Finding the Fourth Proportional to 205,099.20, 307,648.80 and 177,451.20

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Solution

The fourth proportional to 205,099.20, 307,648.80 and 177,451.20 is: 266,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,099.20 : 307,648.80 = 177,451.20 : x
  2. Step 2: Convert to fraction form
    205,099.20/307,648.80 = 177,451.20/x
  3. Step 3: Cross multiply
    205,099.20x = 307,648.80 × 177,451.20
  4. Step 4: Simplify right side
    205,099.20x = 54,592,648,738.56
  5. Step 5: Solve for x
    x = 54,592,648,738.56/205,099.20
  6. Step 6: Final answer
    x = 266,176.80

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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.