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Finding the Fourth Proportional to 159,783.20, 239,641.20 and 80,823.20

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Solution

The fourth proportional to 159,783.20, 239,641.20 and 80,823.20 is: 121,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,783.20 : 239,641.20 = 80,823.20 : x
  2. Step 2: Convert to fraction form
    159,783.20/239,641.20 = 80,823.20/x
  3. Step 3: Cross multiply
    159,783.20x = 239,641.20 × 80,823.20
  4. Step 4: Simplify right side
    159,783.20x = 19,368,568,635.84
  5. Step 5: Solve for x
    x = 19,368,568,635.84/159,783.20
  6. Step 6: Final answer
    x = 121,217.80

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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.