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Finding the Fourth Proportional to 209,323.11, 288,873.50 and 119,916.39

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Solution

The fourth proportional to 209,323.11, 288,873.50 and 119,916.39 is: 165,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,323.11 : 288,873.50 = 119,916.39 : x
  2. Step 2: Convert to fraction form
    209,323.11/288,873.50 = 119,916.39/x
  3. Step 3: Cross multiply
    209,323.11x = 288,873.50 × 119,916.39
  4. Step 4: Simplify right side
    209,323.11x = 34,640,666,687.08
  5. Step 5: Solve for x
    x = 34,640,666,687.08/209,323.11
  6. Step 6: Final answer
    x = 165,488.97

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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.