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Finding the Fourth Proportional to 200,165.83, 300,079.17 and 87,760.86

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Solution

The fourth proportional to 200,165.83, 300,079.17 and 87,760.86 is: 131,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,165.83 : 300,079.17 = 87,760.86 : x
  2. Step 2: Convert to fraction form
    200,165.83/300,079.17 = 87,760.86/x
  3. Step 3: Cross multiply
    200,165.83x = 300,079.17 × 87,760.86
  4. Step 4: Simplify right side
    200,165.83x = 26,335,206,027.29
  5. Step 5: Solve for x
    x = 26,335,206,027.29/200,165.83
  6. Step 6: Final answer
    x = 131,566.94

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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.