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Finding the Fourth Proportional to 215,265.87, 322,723.84 and 75,122.91

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Solution

The fourth proportional to 215,265.87, 322,723.84 and 75,122.91 is: 112,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,265.87 : 322,723.84 = 75,122.91 : x
  2. Step 2: Convert to fraction form
    215,265.87/322,723.84 = 75,122.91/x
  3. Step 3: Cross multiply
    215,265.87x = 322,723.84 × 75,122.91
  4. Step 4: Simplify right side
    215,265.87x = 24,243,951,997.94
  5. Step 5: Solve for x
    x = 24,243,951,997.94/215,265.87
  6. Step 6: Final answer
    x = 112,623.30

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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.