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Finding the Fourth Proportional to 69,612.71, 96,065.64 and 37,781.61

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Solution

The fourth proportional to 69,612.71, 96,065.64 and 37,781.61 is: 52,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,612.71 : 96,065.64 = 37,781.61 : x
  2. Step 2: Convert to fraction form
    69,612.71/96,065.64 = 37,781.61/x
  3. Step 3: Cross multiply
    69,612.71x = 96,065.64 × 37,781.61
  4. Step 4: Simplify right side
    69,612.71x = 3,629,514,355.97
  5. Step 5: Solve for x
    x = 3,629,514,355.97/69,612.71
  6. Step 6: Final answer
    x = 52,138.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.