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Finding the Fourth Proportional to 66,150, 91,287 and 36,342

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Solution

The fourth proportional to 66,150, 91,287 and 36,342 is: 50,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,150 : 91,287 = 36,342 : x
  2. Step 2: Convert to fraction form
    66,150/91,287 = 36,342/x
  3. Step 3: Cross multiply
    66,150x = 91,287 × 36,342
  4. Step 4: Simplify right side
    66,150x = 3,317,552,154
  5. Step 5: Solve for x
    x = 3,317,552,154/66,150
  6. Step 6: Final answer
    x = 50,151.96

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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.