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Finding the Fourth Proportional to 188,286.20, 282,340.20 and 109,424.60

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Solution

The fourth proportional to 188,286.20, 282,340.20 and 109,424.60 is: 164,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,286.20 : 282,340.20 = 109,424.60 : x
  2. Step 2: Convert to fraction form
    188,286.20/282,340.20 = 109,424.60/x
  3. Step 3: Cross multiply
    188,286.20x = 282,340.20 × 109,424.60
  4. Step 4: Simplify right side
    188,286.20x = 30,894,963,448.92
  5. Step 5: Solve for x
    x = 30,894,963,448.92/188,286.20
  6. Step 6: Final answer
    x = 164,085.12

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1.5x scale

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.