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Finding the Fourth Proportional to 381,107.70, 571,688.28 and 114,870.42

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Solution

The fourth proportional to 381,107.70, 571,688.28 and 114,870.42 is: 172,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,107.70 : 571,688.28 = 114,870.42 : x
  2. Step 2: Convert to fraction form
    381,107.70/571,688.28 = 114,870.42/x
  3. Step 3: Cross multiply
    381,107.70x = 571,688.28 × 114,870.42
  4. Step 4: Simplify right side
    381,107.70x = 65,670,072,832.68
  5. Step 5: Solve for x
    x = 65,670,072,832.68/381,107.70
  6. Step 6: Final answer
    x = 172,313.69

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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.