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Finding the Fourth Proportional to 209,325, 288,894.66 and 119,901

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Solution

The fourth proportional to 209,325, 288,894.66 and 119,901 is: 165,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,325 : 288,894.66 = 119,901 : x
  2. Step 2: Convert to fraction form
    209,325/288,894.66 = 119,901/x
  3. Step 3: Cross multiply
    209,325x = 288,894.66 × 119,901
  4. Step 4: Simplify right side
    209,325x = 34,638,758,628.66
  5. Step 5: Solve for x
    x = 34,638,758,628.66/209,325
  6. Step 6: Final answer
    x = 165,478.36

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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.