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Finding the Fourth Proportional to 123,864.60, 185,796.90 and 82,311.60

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Solution

The fourth proportional to 123,864.60, 185,796.90 and 82,311.60 is: 123,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,864.60 : 185,796.90 = 82,311.60 : x
  2. Step 2: Convert to fraction form
    123,864.60/185,796.90 = 82,311.60/x
  3. Step 3: Cross multiply
    123,864.60x = 185,796.90 × 82,311.60
  4. Step 4: Simplify right side
    123,864.60x = 15,293,240,114.04
  5. Step 5: Solve for x
    x = 15,293,240,114.04/123,864.60
  6. Step 6: Final answer
    x = 123,467.40

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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.