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Finding the Fourth Proportional to 221,925.84, 332,856 and 81,651.84

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Solution

The fourth proportional to 221,925.84, 332,856 and 81,651.84 is: 122,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,925.84 : 332,856 = 81,651.84 : x
  2. Step 2: Convert to fraction form
    221,925.84/332,856 = 81,651.84/x
  3. Step 3: Cross multiply
    221,925.84x = 332,856 × 81,651.84
  4. Step 4: Simplify right side
    221,925.84x = 27,178,304,855.04
  5. Step 5: Solve for x
    x = 27,178,304,855.04/221,925.84
  6. Step 6: Final answer
    x = 122,465.71

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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.