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Finding the Fourth Proportional to 66,410.30, 91,643.53 and 36,194.97

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Solution

The fourth proportional to 66,410.30, 91,643.53 and 36,194.97 is: 49,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,410.30 : 91,643.53 = 36,194.97 : x
  2. Step 2: Convert to fraction form
    66,410.30/91,643.53 = 36,194.97/x
  3. Step 3: Cross multiply
    66,410.30x = 91,643.53 × 36,194.97
  4. Step 4: Simplify right side
    66,410.30x = 3,317,034,819.04
  5. Step 5: Solve for x
    x = 3,317,034,819.04/66,410.30
  6. Step 6: Final answer
    x = 49,947.60

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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.