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Finding the Fourth Proportional to 221,465, 332,330.34 and 81,237.80

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Solution

The fourth proportional to 221,465, 332,330.34 and 81,237.80 is: 121,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,465 : 332,330.34 = 81,237.80 : x
  2. Step 2: Convert to fraction form
    221,465/332,330.34 = 81,237.80/x
  3. Step 3: Cross multiply
    221,465x = 332,330.34 × 81,237.80
  4. Step 4: Simplify right side
    221,465x = 26,997,785,694.85
  5. Step 5: Solve for x
    x = 26,997,785,694.85/221,465
  6. Step 6: Final answer
    x = 121,905.43

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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.