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Finding the Fourth Proportional to 66,419.83, 91,659.29 and 36,205.21

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Solution

The fourth proportional to 66,419.83, 91,659.29 and 36,205.21 is: 49,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,419.83 : 91,659.29 = 36,205.21 : x
  2. Step 2: Convert to fraction form
    66,419.83/91,659.29 = 36,205.21/x
  3. Step 3: Cross multiply
    66,419.83x = 91,659.29 × 36,205.21
  4. Step 4: Simplify right side
    66,419.83x = 3,318,543,842.90
  5. Step 5: Solve for x
    x = 3,318,543,842.90/66,419.83
  6. Step 6: Final answer
    x = 49,963.15

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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.