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Finding the Fourth Proportional to 381,126.72, 571,286.72 and 128,166.40

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Solution

The fourth proportional to 381,126.72, 571,286.72 and 128,166.40 is: 192,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,126.72 : 571,286.72 = 128,166.40 : x
  2. Step 2: Convert to fraction form
    381,126.72/571,286.72 = 128,166.40/x
  3. Step 3: Cross multiply
    381,126.72x = 571,286.72 × 128,166.40
  4. Step 4: Simplify right side
    381,126.72x = 73,219,762,270.21
  5. Step 5: Solve for x
    x = 73,219,762,270.21/381,126.72
  6. Step 6: Final answer
    x = 192,113.96

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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.