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Finding the Fourth Proportional to 200,221.92, 276,367.92 and 115,395.60

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Solution

The fourth proportional to 200,221.92, 276,367.92 and 115,395.60 is: 159,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,221.92 : 276,367.92 = 115,395.60 : x
  2. Step 2: Convert to fraction form
    200,221.92/276,367.92 = 115,395.60/x
  3. Step 3: Cross multiply
    200,221.92x = 276,367.92 × 115,395.60
  4. Step 4: Simplify right side
    200,221.92x = 31,891,641,949.15
  5. Step 5: Solve for x
    x = 31,891,641,949.15/200,221.92
  6. Step 6: Final answer
    x = 159,281.47

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1.5x scale

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.