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Finding the Fourth Proportional to 81,872.34, 122,812.83 and 26,472.66

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Solution

The fourth proportional to 81,872.34, 122,812.83 and 26,472.66 is: 39,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,872.34 : 122,812.83 = 26,472.66 : x
  2. Step 2: Convert to fraction form
    81,872.34/122,812.83 = 26,472.66/x
  3. Step 3: Cross multiply
    81,872.34x = 122,812.83 × 26,472.66
  4. Step 4: Simplify right side
    81,872.34x = 3,251,182,292.23
  5. Step 5: Solve for x
    x = 3,251,182,292.23/81,872.34
  6. Step 6: Final answer
    x = 39,710.39

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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.