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Finding the Fourth Proportional to 281,049, 421,542.45 and 70,687.02

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Solution

The fourth proportional to 281,049, 421,542.45 and 70,687.02 is: 106,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,049 : 421,542.45 = 70,687.02 : x
  2. Step 2: Convert to fraction form
    281,049/421,542.45 = 70,687.02/x
  3. Step 3: Cross multiply
    281,049x = 421,542.45 × 70,687.02
  4. Step 4: Simplify right side
    281,049x = 29,797,579,594.00
  5. Step 5: Solve for x
    x = 29,797,579,594.00/281,049
  6. Step 6: Final answer
    x = 106,022.72

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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.