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Finding the Fourth Proportional to 209,639.78, 314,508.82 and 69,398.36

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Solution

The fourth proportional to 209,639.78, 314,508.82 and 69,398.36 is: 104,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,639.78 : 314,508.82 = 69,398.36 : x
  2. Step 2: Convert to fraction form
    209,639.78/314,508.82 = 69,398.36/x
  3. Step 3: Cross multiply
    209,639.78x = 314,508.82 × 69,398.36
  4. Step 4: Simplify right side
    209,639.78x = 21,826,396,313.54
  5. Step 5: Solve for x
    x = 21,826,396,313.54/209,639.78
  6. Step 6: Final answer
    x = 104,113.81

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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.