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Finding the Fourth Proportional to 201,645.12, 302,512.68 and 61,414.56

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Solution

The fourth proportional to 201,645.12, 302,512.68 and 61,414.56 is: 92,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645.12 : 302,512.68 = 61,414.56 : x
  2. Step 2: Convert to fraction form
    201,645.12/302,512.68 = 61,414.56/x
  3. Step 3: Cross multiply
    201,645.12x = 302,512.68 × 61,414.56
  4. Step 4: Simplify right side
    201,645.12x = 18,578,683,136.62
  5. Step 5: Solve for x
    x = 18,578,683,136.62/201,645.12
  6. Step 6: Final answer
    x = 92,135.55

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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.