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Finding the Fourth Proportional to 81,744, 122,616 and 23,376

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Solution

The fourth proportional to 81,744, 122,616 and 23,376 is: 35,064

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,744 : 122,616 = 23,376 : x
  2. Step 2: Convert to fraction form
    81,744/122,616 = 23,376/x
  3. Step 3: Cross multiply
    81,744x = 122,616 × 23,376
  4. Step 4: Simplify right side
    81,744x = 2,866,271,616
  5. Step 5: Solve for x
    x = 2,866,271,616/81,744
  6. Step 6: Final answer
    x = 35,064

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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.