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Finding the Fourth Proportional to 281,323.41, 421,972.16 and 81,639.78

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Solution

The fourth proportional to 281,323.41, 421,972.16 and 81,639.78 is: 122,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,323.41 : 421,972.16 = 81,639.78 : x
  2. Step 2: Convert to fraction form
    281,323.41/421,972.16 = 81,639.78/x
  3. Step 3: Cross multiply
    281,323.41x = 421,972.16 × 81,639.78
  4. Step 4: Simplify right side
    281,323.41x = 34,449,713,900.33
  5. Step 5: Solve for x
    x = 34,449,713,900.33/281,323.41
  6. Step 6: Final answer
    x = 122,455.91

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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.