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Finding the Fourth Proportional to 66,016.50, 91,102.77 and 36,208.50

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Solution

The fourth proportional to 66,016.50, 91,102.77 and 36,208.50 is: 49,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,016.50 : 91,102.77 = 36,208.50 : x
  2. Step 2: Convert to fraction form
    66,016.50/91,102.77 = 36,208.50/x
  3. Step 3: Cross multiply
    66,016.50x = 91,102.77 × 36,208.50
  4. Step 4: Simplify right side
    66,016.50x = 3,298,694,647.55
  5. Step 5: Solve for x
    x = 3,298,694,647.55/66,016.50
  6. Step 6: Final answer
    x = 49,967.73

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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.