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Finding the Fourth Proportional to 284,190.93, 426,129.66 and 115,668

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Solution

The fourth proportional to 284,190.93, 426,129.66 and 115,668 is: 173,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,190.93 : 426,129.66 = 115,668 : x
  2. Step 2: Convert to fraction form
    284,190.93/426,129.66 = 115,668/x
  3. Step 3: Cross multiply
    284,190.93x = 426,129.66 × 115,668
  4. Step 4: Simplify right side
    284,190.93x = 49,289,565,512.88
  5. Step 5: Solve for x
    x = 49,289,565,512.88/284,190.93
  6. Step 6: Final answer
    x = 173,438.21

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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.