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Finding the Fourth Proportional to 66,400.48, 91,631.44 and 36,186

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Solution

The fourth proportional to 66,400.48, 91,631.44 and 36,186 is: 49,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,400.48 : 91,631.44 = 36,186 : x
  2. Step 2: Convert to fraction form
    66,400.48/91,631.44 = 36,186/x
  3. Step 3: Cross multiply
    66,400.48x = 91,631.44 × 36,186
  4. Step 4: Simplify right side
    66,400.48x = 3,315,775,287.84
  5. Step 5: Solve for x
    x = 3,315,775,287.84/66,400.48
  6. Step 6: Final answer
    x = 49,936.01

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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.