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Finding the Fourth Proportional to 81,963.78, 122,872.74 and 32,032.52

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Solution

The fourth proportional to 81,963.78, 122,872.74 and 32,032.52 is: 48,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,963.78 : 122,872.74 = 32,032.52 : x
  2. Step 2: Convert to fraction form
    81,963.78/122,872.74 = 32,032.52/x
  3. Step 3: Cross multiply
    81,963.78x = 122,872.74 × 32,032.52
  4. Step 4: Simplify right side
    81,963.78x = 3,935,923,501.50
  5. Step 5: Solve for x
    x = 3,935,923,501.50/81,963.78
  6. Step 6: Final answer
    x = 48,020.28

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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.