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Finding the Fourth Proportional to 81,806.48, 122,712.46 and 22,637.20

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Solution

The fourth proportional to 81,806.48, 122,712.46 and 22,637.20 is: 33,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.48 : 122,712.46 = 22,637.20 : x
  2. Step 2: Convert to fraction form
    81,806.48/122,712.46 = 22,637.20/x
  3. Step 3: Cross multiply
    81,806.48x = 122,712.46 × 22,637.20
  4. Step 4: Simplify right side
    81,806.48x = 2,777,866,499.51
  5. Step 5: Solve for x
    x = 2,777,866,499.51/81,806.48
  6. Step 6: Final answer
    x = 33,956.56

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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.