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Finding the Fourth Proportional to 206,191.72, 309,336.78 and 73,083.60

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Solution

The fourth proportional to 206,191.72, 309,336.78 and 73,083.60 is: 109,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,191.72 : 309,336.78 = 73,083.60 : x
  2. Step 2: Convert to fraction form
    206,191.72/309,336.78 = 73,083.60/x
  3. Step 3: Cross multiply
    206,191.72x = 309,336.78 × 73,083.60
  4. Step 4: Simplify right side
    206,191.72x = 22,607,445,494.81
  5. Step 5: Solve for x
    x = 22,607,445,494.81/206,191.72
  6. Step 6: Final answer
    x = 109,642.84

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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.