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Finding the Fourth Proportional to 206,416, 309,364.96 and 111,642.40

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Solution

The fourth proportional to 206,416, 309,364.96 and 111,642.40 is: 167,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416 : 309,364.96 = 111,642.40 : x
  2. Step 2: Convert to fraction form
    206,416/309,364.96 = 111,642.40/x
  3. Step 3: Cross multiply
    206,416x = 309,364.96 × 111,642.40
  4. Step 4: Simplify right side
    206,416x = 34,538,246,610.30
  5. Step 5: Solve for x
    x = 34,538,246,610.30/206,416
  6. Step 6: Final answer
    x = 167,323.50

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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.