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Finding the Fourth Proportional to 215,659.48, 323,589.42 and 82,495.72

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Solution

The fourth proportional to 215,659.48, 323,589.42 and 82,495.72 is: 123,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,659.48 : 323,589.42 = 82,495.72 : x
  2. Step 2: Convert to fraction form
    215,659.48/323,589.42 = 82,495.72/x
  3. Step 3: Cross multiply
    215,659.48x = 323,589.42 × 82,495.72
  4. Step 4: Simplify right side
    215,659.48x = 26,694,742,187.28
  5. Step 5: Solve for x
    x = 26,694,742,187.28/215,659.48
  6. Step 6: Final answer
    x = 123,781.91

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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.