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Finding the Fourth Proportional to 66,197.12, 91,352.64 and 35,982.50

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Solution

The fourth proportional to 66,197.12, 91,352.64 and 35,982.50 is: 49,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,197.12 : 91,352.64 = 35,982.50 : x
  2. Step 2: Convert to fraction form
    66,197.12/91,352.64 = 35,982.50/x
  3. Step 3: Cross multiply
    66,197.12x = 91,352.64 × 35,982.50
  4. Step 4: Simplify right side
    66,197.12x = 3,287,096,368.80
  5. Step 5: Solve for x
    x = 3,287,096,368.80/66,197.12
  6. Step 6: Final answer
    x = 49,656.18

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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.