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Finding the Fourth Proportional to 66,118, 91,242.84 and 36,310

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Solution

The fourth proportional to 66,118, 91,242.84 and 36,310 is: 50,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,118 : 91,242.84 = 36,310 : x
  2. Step 2: Convert to fraction form
    66,118/91,242.84 = 36,310/x
  3. Step 3: Cross multiply
    66,118x = 91,242.84 × 36,310
  4. Step 4: Simplify right side
    66,118x = 3,313,027,520.40
  5. Step 5: Solve for x
    x = 3,313,027,520.40/66,118
  6. Step 6: Final answer
    x = 50,107.80

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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.