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Finding the Fourth Proportional to 221,690.22, 332,667.81 and 81,463.02

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Solution

The fourth proportional to 221,690.22, 332,667.81 and 81,463.02 is: 122,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,690.22 : 332,667.81 = 81,463.02 : x
  2. Step 2: Convert to fraction form
    221,690.22/332,667.81 = 81,463.02/x
  3. Step 3: Cross multiply
    221,690.22x = 332,667.81 × 81,463.02
  4. Step 4: Simplify right side
    221,690.22x = 27,100,124,459.39
  5. Step 5: Solve for x
    x = 27,100,124,459.39/221,690.22
  6. Step 6: Final answer
    x = 122,243.21

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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.