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Finding the Fourth Proportional to 281,217.88, 421,888.79 and 81,546.60

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Solution

The fourth proportional to 281,217.88, 421,888.79 and 81,546.60 is: 122,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,217.88 : 421,888.79 = 81,546.60 : x
  2. Step 2: Convert to fraction form
    281,217.88/421,888.79 = 81,546.60/x
  3. Step 3: Cross multiply
    281,217.88x = 421,888.79 × 81,546.60
  4. Step 4: Simplify right side
    281,217.88x = 34,403,595,994.88
  5. Step 5: Solve for x
    x = 34,403,595,994.88/281,217.88
  6. Step 6: Final answer
    x = 122,337.87

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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.