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Finding the Fourth Proportional to 381,108.70, 571,689.78 and 114,871.42

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Solution

The fourth proportional to 381,108.70, 571,689.78 and 114,871.42 is: 172,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,108.70 : 571,689.78 = 114,871.42 : x
  2. Step 2: Convert to fraction form
    381,108.70/571,689.78 = 114,871.42/x
  3. Step 3: Cross multiply
    381,108.70x = 571,689.78 × 114,871.42
  4. Step 4: Simplify right side
    381,108.70x = 65,670,816,828.09
  5. Step 5: Solve for x
    x = 65,670,816,828.09/381,108.70
  6. Step 6: Final answer
    x = 172,315.19

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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.