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Finding the Fourth Proportional to 66,700.53, 100,013.86 and 27,285.33

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Solution

The fourth proportional to 66,700.53, 100,013.86 and 27,285.33 is: 40,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,700.53 : 100,013.86 = 27,285.33 : x
  2. Step 2: Convert to fraction form
    66,700.53/100,013.86 = 27,285.33/x
  3. Step 3: Cross multiply
    66,700.53x = 100,013.86 × 27,285.33
  4. Step 4: Simplify right side
    66,700.53x = 2,728,911,174.67
  5. Step 5: Solve for x
    x = 2,728,911,174.67/66,700.53
  6. Step 6: Final answer
    x = 40,912.89

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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.