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Finding the Fourth Proportional to 81,981.30, 122,950.35 and 25,821.30

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Solution

The fourth proportional to 81,981.30, 122,950.35 and 25,821.30 is: 38,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,981.30 : 122,950.35 = 25,821.30 : x
  2. Step 2: Convert to fraction form
    81,981.30/122,950.35 = 25,821.30/x
  3. Step 3: Cross multiply
    81,981.30x = 122,950.35 × 25,821.30
  4. Step 4: Simplify right side
    81,981.30x = 3,174,737,872.46
  5. Step 5: Solve for x
    x = 3,174,737,872.46/81,981.30
  6. Step 6: Final answer
    x = 38,725.15

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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.