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Finding the Fourth Proportional to 187,794.78, 281,692.09 and 45,639.30

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Solution

The fourth proportional to 187,794.78, 281,692.09 and 45,639.30 is: 68,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,794.78 : 281,692.09 = 45,639.30 : x
  2. Step 2: Convert to fraction form
    187,794.78/281,692.09 = 45,639.30/x
  3. Step 3: Cross multiply
    187,794.78x = 281,692.09 × 45,639.30
  4. Step 4: Simplify right side
    187,794.78x = 12,856,229,803.14
  5. Step 5: Solve for x
    x = 12,856,229,803.14/187,794.78
  6. Step 6: Final answer
    x = 68,458.93

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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.