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Finding the Fourth Proportional to 187,467.60, 281,201.40 and 120,982.80

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Solution

The fourth proportional to 187,467.60, 281,201.40 and 120,982.80 is: 181,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,467.60 : 281,201.40 = 120,982.80 : x
  2. Step 2: Convert to fraction form
    187,467.60/281,201.40 = 120,982.80/x
  3. Step 3: Cross multiply
    187,467.60x = 281,201.40 × 120,982.80
  4. Step 4: Simplify right side
    187,467.60x = 34,020,532,735.92
  5. Step 5: Solve for x
    x = 34,020,532,735.92/187,467.60
  6. Step 6: Final answer
    x = 181,474.20

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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.