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Finding the Fourth Proportional to 201,986.17, 302,986.91 and 75,613.12

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Solution

The fourth proportional to 201,986.17, 302,986.91 and 75,613.12 is: 113,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,986.17 : 302,986.91 = 75,613.12 : x
  2. Step 2: Convert to fraction form
    201,986.17/302,986.91 = 75,613.12/x
  3. Step 3: Cross multiply
    201,986.17x = 302,986.91 × 75,613.12
  4. Step 4: Simplify right side
    201,986.17x = 22,909,785,015.82
  5. Step 5: Solve for x
    x = 22,909,785,015.82/201,986.17
  6. Step 6: Final answer
    x = 113,422.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.