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Finding the Fourth Proportional to 154,728.92, 232,105.20 and 65,982.80

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Solution

The fourth proportional to 154,728.92, 232,105.20 and 65,982.80 is: 98,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,728.92 : 232,105.20 = 65,982.80 : x
  2. Step 2: Convert to fraction form
    154,728.92/232,105.20 = 65,982.80/x
  3. Step 3: Cross multiply
    154,728.92x = 232,105.20 × 65,982.80
  4. Step 4: Simplify right side
    154,728.92x = 15,314,950,990.56
  5. Step 5: Solve for x
    x = 15,314,950,990.56/154,728.92
  6. Step 6: Final answer
    x = 98,979.24

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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.