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Finding the Fourth Proportional to 81,979.52, 122,972.16 and 26,576

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Solution

The fourth proportional to 81,979.52, 122,972.16 and 26,576 is: 39,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,979.52 : 122,972.16 = 26,576 : x
  2. Step 2: Convert to fraction form
    81,979.52/122,972.16 = 26,576/x
  3. Step 3: Cross multiply
    81,979.52x = 122,972.16 × 26,576
  4. Step 4: Simplify right side
    81,979.52x = 3,268,108,124.16
  5. Step 5: Solve for x
    x = 3,268,108,124.16/81,979.52
  6. Step 6: Final answer
    x = 39,864.93

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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.