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Finding the Fourth Proportional to 123,540.80, 185,311.20 and 109,762.70

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Solution

The fourth proportional to 123,540.80, 185,311.20 and 109,762.70 is: 164,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,540.80 : 185,311.20 = 109,762.70 : x
  2. Step 2: Convert to fraction form
    123,540.80/185,311.20 = 109,762.70/x
  3. Step 3: Cross multiply
    123,540.80x = 185,311.20 × 109,762.70
  4. Step 4: Simplify right side
    123,540.80x = 20,340,257,652.24
  5. Step 5: Solve for x
    x = 20,340,257,652.24/123,540.80
  6. Step 6: Final answer
    x = 164,644.05

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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.