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Finding the Fourth Proportional to 281,149.92, 421,724.52 and 70,787.88

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Solution

The fourth proportional to 281,149.92, 421,724.52 and 70,787.88 is: 106,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,149.92 : 421,724.52 = 70,787.88 : x
  2. Step 2: Convert to fraction form
    281,149.92/421,724.52 = 70,787.88/x
  3. Step 3: Cross multiply
    281,149.92x = 421,724.52 × 70,787.88
  4. Step 4: Simplify right side
    281,149.92x = 29,852,984,714.82
  5. Step 5: Solve for x
    x = 29,852,984,714.82/281,149.92
  6. Step 6: Final answer
    x = 106,181.73

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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.