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Finding the Fourth Proportional to 258,217.92, 387,338.40 and 80,728.56

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Solution

The fourth proportional to 258,217.92, 387,338.40 and 80,728.56 is: 121,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,217.92 : 387,338.40 = 80,728.56 : x
  2. Step 2: Convert to fraction form
    258,217.92/387,338.40 = 80,728.56/x
  3. Step 3: Cross multiply
    258,217.92x = 387,338.40 × 80,728.56
  4. Step 4: Simplify right side
    258,217.92x = 31,269,271,264.70
  5. Step 5: Solve for x
    x = 31,269,271,264.70/258,217.92
  6. Step 6: Final answer
    x = 121,096.44

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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.