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Finding the Fourth Proportional to 221,950.67, 306,197.82 and 135,877.23

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Solution

The fourth proportional to 221,950.67, 306,197.82 and 135,877.23 is: 187,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,950.67 : 306,197.82 = 135,877.23 : x
  2. Step 2: Convert to fraction form
    221,950.67/306,197.82 = 135,877.23/x
  3. Step 3: Cross multiply
    221,950.67x = 306,197.82 × 135,877.23
  4. Step 4: Simplify right side
    221,950.67x = 41,605,311,613.64
  5. Step 5: Solve for x
    x = 41,605,311,613.64/221,950.67
  6. Step 6: Final answer
    x = 187,452.97

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1.5x scale

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.