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Finding the Fourth Proportional to 66,180.96, 91,331.28 and 35,967.96

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Solution

The fourth proportional to 66,180.96, 91,331.28 and 35,967.96 is: 49,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,180.96 : 91,331.28 = 35,967.96 : x
  2. Step 2: Convert to fraction form
    66,180.96/91,331.28 = 35,967.96/x
  3. Step 3: Cross multiply
    66,180.96x = 91,331.28 × 35,967.96
  4. Step 4: Simplify right side
    66,180.96x = 3,284,999,825.79
  5. Step 5: Solve for x
    x = 3,284,999,825.79/66,180.96
  6. Step 6: Final answer
    x = 49,636.63

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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.