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Finding the Fourth Proportional to 71,813.96, 107,728.32 and 27,478

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Solution

The fourth proportional to 71,813.96, 107,728.32 and 27,478 is: 41,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,813.96 : 107,728.32 = 27,478 : x
  2. Step 2: Convert to fraction form
    71,813.96/107,728.32 = 27,478/x
  3. Step 3: Cross multiply
    71,813.96x = 107,728.32 × 27,478
  4. Step 4: Simplify right side
    71,813.96x = 2,960,158,776.96
  5. Step 5: Solve for x
    x = 2,960,158,776.96/71,813.96
  6. Step 6: Final answer
    x = 41,219.82

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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.