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Finding the Fourth Proportional to 123,961.78, 185,941.05 and 30,468.34

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Solution

The fourth proportional to 123,961.78, 185,941.05 and 30,468.34 is: 45,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,961.78 : 185,941.05 = 30,468.34 : x
  2. Step 2: Convert to fraction form
    123,961.78/185,941.05 = 30,468.34/x
  3. Step 3: Cross multiply
    123,961.78x = 185,941.05 × 30,468.34
  4. Step 4: Simplify right side
    123,961.78x = 5,665,315,131.36
  5. Step 5: Solve for x
    x = 5,665,315,131.36/123,961.78
  6. Step 6: Final answer
    x = 45,702.11

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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.