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Finding the Fourth Proportional to 66,133, 99,205.86 and 21,759.88

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Solution

The fourth proportional to 66,133, 99,205.86 and 21,759.88 is: 32,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,133 : 99,205.86 = 21,759.88 : x
  2. Step 2: Convert to fraction form
    66,133/99,205.86 = 21,759.88/x
  3. Step 3: Cross multiply
    66,133x = 99,205.86 × 21,759.88
  4. Step 4: Simplify right side
    66,133x = 2,158,707,608.90
  5. Step 5: Solve for x
    x = 2,158,707,608.90/66,133
  6. Step 6: Final answer
    x = 32,641.91

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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.