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Finding the Fourth Proportional to 72,586.26, 108,894.78 and 25,839

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Solution

The fourth proportional to 72,586.26, 108,894.78 and 25,839 is: 38,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,586.26 : 108,894.78 = 25,839 : x
  2. Step 2: Convert to fraction form
    72,586.26/108,894.78 = 25,839/x
  3. Step 3: Cross multiply
    72,586.26x = 108,894.78 × 25,839
  4. Step 4: Simplify right side
    72,586.26x = 2,813,732,220.42
  5. Step 5: Solve for x
    x = 2,813,732,220.42/72,586.26
  6. Step 6: Final answer
    x = 38,763.98

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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.