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Finding the Fourth Proportional to 187,809.80, 281,196.30 and 146,337.80

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Solution

The fourth proportional to 187,809.80, 281,196.30 and 146,337.80 is: 219,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,809.80 : 281,196.30 = 146,337.80 : x
  2. Step 2: Convert to fraction form
    187,809.80/281,196.30 = 146,337.80/x
  3. Step 3: Cross multiply
    187,809.80x = 281,196.30 × 146,337.80
  4. Step 4: Simplify right side
    187,809.80x = 41,149,647,910.14
  5. Step 5: Solve for x
    x = 41,149,647,910.14/187,809.80
  6. Step 6: Final answer
    x = 219,102.77

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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.