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Finding the Fourth Proportional to 206,322.28, 309,572.51 and 111,619.17

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Solution

The fourth proportional to 206,322.28, 309,572.51 and 111,619.17 is: 167,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,322.28 : 309,572.51 = 111,619.17 : x
  2. Step 2: Convert to fraction form
    206,322.28/309,572.51 = 111,619.17/x
  3. Step 3: Cross multiply
    206,322.28x = 309,572.51 × 111,619.17
  4. Step 4: Simplify right side
    206,322.28x = 34,554,226,062.92
  5. Step 5: Solve for x
    x = 34,554,226,062.92/206,322.28
  6. Step 6: Final answer
    x = 167,476.95

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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.