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Finding the Fourth Proportional to 206,885.68, 309,897.95 and 131,633.06

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Solution

The fourth proportional to 206,885.68, 309,897.95 and 131,633.06 is: 197,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,885.68 : 309,897.95 = 131,633.06 : x
  2. Step 2: Convert to fraction form
    206,885.68/309,897.95 = 131,633.06/x
  3. Step 3: Cross multiply
    206,885.68x = 309,897.95 × 131,633.06
  4. Step 4: Simplify right side
    206,885.68x = 40,792,814,613.19
  5. Step 5: Solve for x
    x = 40,792,814,613.19/206,885.68
  6. Step 6: Final answer
    x = 197,175.63

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1.5x scale

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.