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Finding the Fourth Proportional to 187,560, 281,325.28 and 82,379.84

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Solution

The fourth proportional to 187,560, 281,325.28 and 82,379.84 is: 123,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,560 : 281,325.28 = 82,379.84 : x
  2. Step 2: Convert to fraction form
    187,560/281,325.28 = 82,379.84/x
  3. Step 3: Cross multiply
    187,560x = 281,325.28 × 82,379.84
  4. Step 4: Simplify right side
    187,560x = 23,175,531,554.36
  5. Step 5: Solve for x
    x = 23,175,531,554.36/187,560
  6. Step 6: Final answer
    x = 123,563.29

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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.