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Finding the Fourth Proportional to 70,785.66, 106,061.79 and 41,120.22

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Solution

The fourth proportional to 70,785.66, 106,061.79 and 41,120.22 is: 61,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,785.66 : 106,061.79 = 41,120.22 : x
  2. Step 2: Convert to fraction form
    70,785.66/106,061.79 = 41,120.22/x
  3. Step 3: Cross multiply
    70,785.66x = 106,061.79 × 41,120.22
  4. Step 4: Simplify right side
    70,785.66x = 4,361,284,138.39
  5. Step 5: Solve for x
    x = 4,361,284,138.39/70,785.66
  6. Step 6: Final answer
    x = 61,612.54

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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.