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Finding the Fourth Proportional to 230,709.20, 318,377.66 and 128,728.71

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Solution

The fourth proportional to 230,709.20, 318,377.66 and 128,728.71 is: 177,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,709.20 : 318,377.66 = 128,728.71 : x
  2. Step 2: Convert to fraction form
    230,709.20/318,377.66 = 128,728.71/x
  3. Step 3: Cross multiply
    230,709.20x = 318,377.66 × 128,728.71
  4. Step 4: Simplify right side
    230,709.20x = 40,984,345,786.44
  5. Step 5: Solve for x
    x = 40,984,345,786.44/230,709.20
  6. Step 6: Final answer
    x = 177,645.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.