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Finding the Fourth Proportional to 66,194.61, 91,349.17 and 35,980

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Solution

The fourth proportional to 66,194.61, 91,349.17 and 35,980 is: 49,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,194.61 : 91,349.17 = 35,980 : x
  2. Step 2: Convert to fraction form
    66,194.61/91,349.17 = 35,980/x
  3. Step 3: Cross multiply
    66,194.61x = 91,349.17 × 35,980
  4. Step 4: Simplify right side
    66,194.61x = 3,286,743,136.60
  5. Step 5: Solve for x
    x = 3,286,743,136.60/66,194.61
  6. Step 6: Final answer
    x = 49,652.73

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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.