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Finding the Fourth Proportional to 221,802.20, 332,703.30 and 81,542.60

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Solution

The fourth proportional to 221,802.20, 332,703.30 and 81,542.60 is: 122,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,802.20 : 332,703.30 = 81,542.60 : x
  2. Step 2: Convert to fraction form
    221,802.20/332,703.30 = 81,542.60/x
  3. Step 3: Cross multiply
    221,802.20x = 332,703.30 × 81,542.60
  4. Step 4: Simplify right side
    221,802.20x = 27,129,492,110.58
  5. Step 5: Solve for x
    x = 27,129,492,110.58/221,802.20
  6. Step 6: Final answer
    x = 122,313.90

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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.