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Finding the Fourth Proportional to 281,138.05, 421,728.95 and 81,461.31

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Solution

The fourth proportional to 281,138.05, 421,728.95 and 81,461.31 is: 122,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,138.05 : 421,728.95 = 81,461.31 : x
  2. Step 2: Convert to fraction form
    281,138.05/421,728.95 = 81,461.31/x
  3. Step 3: Cross multiply
    281,138.05x = 421,728.95 × 81,461.31
  4. Step 4: Simplify right side
    281,138.05x = 34,354,592,731.92
  5. Step 5: Solve for x
    x = 34,354,592,731.92/281,138.05
  6. Step 6: Final answer
    x = 122,198.30

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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.