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Finding the Fourth Proportional to 381,143.07, 571,717.04 and 114,902.55

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Solution

The fourth proportional to 381,143.07, 571,717.04 and 114,902.55 is: 172,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,143.07 : 571,717.04 = 114,902.55 : x
  2. Step 2: Convert to fraction form
    381,143.07/571,717.04 = 114,902.55/x
  3. Step 3: Cross multiply
    381,143.07x = 571,717.04 × 114,902.55
  4. Step 4: Simplify right side
    381,143.07x = 65,691,745,199.94
  5. Step 5: Solve for x
    x = 65,691,745,199.94/381,143.07
  6. Step 6: Final answer
    x = 172,354.56

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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.