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Finding the Fourth Proportional to 66,361.92, 91,578.06 and 36,147.78

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Solution

The fourth proportional to 66,361.92, 91,578.06 and 36,147.78 is: 49,883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,361.92 : 91,578.06 = 36,147.78 : x
  2. Step 2: Convert to fraction form
    66,361.92/91,578.06 = 36,147.78/x
  3. Step 3: Cross multiply
    66,361.92x = 91,578.06 × 36,147.78
  4. Step 4: Simplify right side
    66,361.92x = 3,310,343,565.71
  5. Step 5: Solve for x
    x = 3,310,343,565.71/66,361.92
  6. Step 6: Final answer
    x = 49,883.18

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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.