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Finding the Fourth Proportional to 81,838.73, 122,757.62 and 21,048.91

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Solution

The fourth proportional to 81,838.73, 122,757.62 and 21,048.91 is: 31,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,838.73 : 122,757.62 = 21,048.91 : x
  2. Step 2: Convert to fraction form
    81,838.73/122,757.62 = 21,048.91/x
  3. Step 3: Cross multiply
    81,838.73x = 122,757.62 × 21,048.91
  4. Step 4: Simplify right side
    81,838.73x = 2,583,913,683.06
  5. Step 5: Solve for x
    x = 2,583,913,683.06/81,838.73
  6. Step 6: Final answer
    x = 31,573.24

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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.