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Finding the Fourth Proportional to 104,642.60, 156,744.30 and 82,350.68

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Solution

The fourth proportional to 104,642.60, 156,744.30 and 82,350.68 is: 123,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,642.60 : 156,744.30 = 82,350.68 : x
  2. Step 2: Convert to fraction form
    104,642.60/156,744.30 = 82,350.68/x
  3. Step 3: Cross multiply
    104,642.60x = 156,744.30 × 82,350.68
  4. Step 4: Simplify right side
    104,642.60x = 12,907,999,691.12
  5. Step 5: Solve for x
    x = 12,907,999,691.12/104,642.60
  6. Step 6: Final answer
    x = 123,353.20

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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.