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Finding the Fourth Proportional to 66,012, 91,102.32 and 36,209.76

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Solution

The fourth proportional to 66,012, 91,102.32 and 36,209.76 is: 49,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,012 : 91,102.32 = 36,209.76 : x
  2. Step 2: Convert to fraction form
    66,012/91,102.32 = 36,209.76/x
  3. Step 3: Cross multiply
    66,012x = 91,102.32 × 36,209.76
  4. Step 4: Simplify right side
    66,012x = 3,298,793,142.64
  5. Step 5: Solve for x
    x = 3,298,793,142.64/66,012
  6. Step 6: Final answer
    x = 49,972.63

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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.