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Finding the Fourth Proportional to 206,642.34, 309,667.77 and 117,712.17

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Solution

The fourth proportional to 206,642.34, 309,667.77 and 117,712.17 is: 176,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,642.34 : 309,667.77 = 117,712.17 : x
  2. Step 2: Convert to fraction form
    206,642.34/309,667.77 = 117,712.17/x
  3. Step 3: Cross multiply
    206,642.34x = 309,667.77 × 117,712.17
  4. Step 4: Simplify right side
    206,642.34x = 36,451,665,185.76
  5. Step 5: Solve for x
    x = 36,451,665,185.76/206,642.34
  6. Step 6: Final answer
    x = 176,399.79

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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.