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Finding the Fourth Proportional to 81,581.24, 122,358 and 22,403

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Solution

The fourth proportional to 81,581.24, 122,358 and 22,403 is: 33,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,581.24 : 122,358 = 22,403 : x
  2. Step 2: Convert to fraction form
    81,581.24/122,358 = 22,403/x
  3. Step 3: Cross multiply
    81,581.24x = 122,358 × 22,403
  4. Step 4: Simplify right side
    81,581.24x = 2,741,186,274
  5. Step 5: Solve for x
    x = 2,741,186,274/81,581.24
  6. Step 6: Final answer
    x = 33,600.69

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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.