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Finding the Fourth Proportional to 66,498, 91,767.24 and 36,690

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Solution

The fourth proportional to 66,498, 91,767.24 and 36,690 is: 50,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,498 : 91,767.24 = 36,690 : x
  2. Step 2: Convert to fraction form
    66,498/91,767.24 = 36,690/x
  3. Step 3: Cross multiply
    66,498x = 91,767.24 × 36,690
  4. Step 4: Simplify right side
    66,498x = 3,366,940,035.60
  5. Step 5: Solve for x
    x = 3,366,940,035.60/66,498
  6. Step 6: Final answer
    x = 50,632.20

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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.