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Finding the Fourth Proportional to 123,401.78, 185,102.60 and 40,295.78

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Solution

The fourth proportional to 123,401.78, 185,102.60 and 40,295.78 is: 60,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,401.78 : 185,102.60 = 40,295.78 : x
  2. Step 2: Convert to fraction form
    123,401.78/185,102.60 = 40,295.78/x
  3. Step 3: Cross multiply
    123,401.78x = 185,102.60 × 40,295.78
  4. Step 4: Simplify right side
    123,401.78x = 7,458,853,647.03
  5. Step 5: Solve for x
    x = 7,458,853,647.03/123,401.78
  6. Step 6: Final answer
    x = 60,443.65

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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.