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Finding the Fourth Proportional to 123,616.40, 185,424.60 and 67,629.20

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Solution

The fourth proportional to 123,616.40, 185,424.60 and 67,629.20 is: 101,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,616.40 : 185,424.60 = 67,629.20 : x
  2. Step 2: Convert to fraction form
    123,616.40/185,424.60 = 67,629.20/x
  3. Step 3: Cross multiply
    123,616.40x = 185,424.60 × 67,629.20
  4. Step 4: Simplify right side
    123,616.40x = 12,540,117,358.32
  5. Step 5: Solve for x
    x = 12,540,117,358.32/123,616.40
  6. Step 6: Final answer
    x = 101,443.80

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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.