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Finding the Fourth Proportional to 209,322.86, 288,873.15 and 119,916.14

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Solution

The fourth proportional to 209,322.86, 288,873.15 and 119,916.14 is: 165,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,322.86 : 288,873.15 = 119,916.14 : x
  2. Step 2: Convert to fraction form
    209,322.86/288,873.15 = 119,916.14/x
  3. Step 3: Cross multiply
    209,322.86x = 288,873.15 × 119,916.14
  4. Step 4: Simplify right side
    209,322.86x = 34,640,553,097.64
  5. Step 5: Solve for x
    x = 34,640,553,097.64/209,322.86
  6. Step 6: Final answer
    x = 165,488.63

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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.