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Finding the Fourth Proportional to 221,763.04, 332,633.76 and 81,512.80

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Solution

The fourth proportional to 221,763.04, 332,633.76 and 81,512.80 is: 122,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,763.04 : 332,633.76 = 81,512.80 : x
  2. Step 2: Convert to fraction form
    221,763.04/332,633.76 = 81,512.80/x
  3. Step 3: Cross multiply
    221,763.04x = 332,633.76 × 81,512.80
  4. Step 4: Simplify right side
    221,763.04x = 27,113,909,152.13
  5. Step 5: Solve for x
    x = 27,113,909,152.13/221,763.04
  6. Step 6: Final answer
    x = 122,265.23

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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.