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Finding the Fourth Proportional to 66,045, 91,142.16 and 36,237

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Solution

The fourth proportional to 66,045, 91,142.16 and 36,237 is: 50,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,045 : 91,142.16 = 36,237 : x
  2. Step 2: Convert to fraction form
    66,045/91,142.16 = 36,237/x
  3. Step 3: Cross multiply
    66,045x = 91,142.16 × 36,237
  4. Step 4: Simplify right side
    66,045x = 3,302,718,451.92
  5. Step 5: Solve for x
    x = 3,302,718,451.92/66,045
  6. Step 6: Final answer
    x = 50,007.09

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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.