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Finding the Fourth Proportional to 66,772.80, 100,172.64 and 24,653.16

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Solution

The fourth proportional to 66,772.80, 100,172.64 and 24,653.16 is: 36,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,772.80 : 100,172.64 = 24,653.16 : x
  2. Step 2: Convert to fraction form
    66,772.80/100,172.64 = 24,653.16/x
  3. Step 3: Cross multiply
    66,772.80x = 100,172.64 × 24,653.16
  4. Step 4: Simplify right side
    66,772.80x = 2,469,572,121.54
  5. Step 5: Solve for x
    x = 2,469,572,121.54/66,772.80
  6. Step 6: Final answer
    x = 36,984.70

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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.