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Finding the Fourth Proportional to 187,234.80, 280,852.20 and 82,258.80

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Solution

The fourth proportional to 187,234.80, 280,852.20 and 82,258.80 is: 123,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,234.80 : 280,852.20 = 82,258.80 : x
  2. Step 2: Convert to fraction form
    187,234.80/280,852.20 = 82,258.80/x
  3. Step 3: Cross multiply
    187,234.80x = 280,852.20 × 82,258.80
  4. Step 4: Simplify right side
    187,234.80x = 23,102,564,949.36
  5. Step 5: Solve for x
    x = 23,102,564,949.36/187,234.80
  6. Step 6: Final answer
    x = 123,388.20

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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.