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Finding the Fourth Proportional to 381,014.20, 571,121.22 and 128,206.93

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Solution

The fourth proportional to 381,014.20, 571,121.22 and 128,206.93 is: 192,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,014.20 : 571,121.22 = 128,206.93 : x
  2. Step 2: Convert to fraction form
    381,014.20/571,121.22 = 128,206.93/x
  3. Step 3: Cross multiply
    381,014.20x = 571,121.22 × 128,206.93
  4. Step 4: Simplify right side
    381,014.20x = 73,221,698,274.05
  5. Step 5: Solve for x
    x = 73,221,698,274.05/381,014.20
  6. Step 6: Final answer
    x = 192,175.77

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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.