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Finding the Fourth Proportional to 66,321, 91,523.16 and 36,513

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Solution

The fourth proportional to 66,321, 91,523.16 and 36,513 is: 50,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,321 : 91,523.16 = 36,513 : x
  2. Step 2: Convert to fraction form
    66,321/91,523.16 = 36,513/x
  3. Step 3: Cross multiply
    66,321x = 91,523.16 × 36,513
  4. Step 4: Simplify right side
    66,321x = 3,341,785,141.08
  5. Step 5: Solve for x
    x = 3,341,785,141.08/66,321
  6. Step 6: Final answer
    x = 50,388.04

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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.