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Finding the Fourth Proportional to 209,326, 288,896.04 and 119,902

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Solution

The fourth proportional to 209,326, 288,896.04 and 119,902 is: 165,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,326 : 288,896.04 = 119,902 : x
  2. Step 2: Convert to fraction form
    209,326/288,896.04 = 119,902/x
  3. Step 3: Cross multiply
    209,326x = 288,896.04 × 119,902
  4. Step 4: Simplify right side
    209,326x = 34,639,212,988.08
  5. Step 5: Solve for x
    x = 34,639,212,988.08/209,326
  6. Step 6: Final answer
    x = 165,479.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.