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Finding the Fourth Proportional to 200,059.39, 276,078.08 and 109,415.07

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Solution

The fourth proportional to 200,059.39, 276,078.08 and 109,415.07 is: 150,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,059.39 : 276,078.08 = 109,415.07 : x
  2. Step 2: Convert to fraction form
    200,059.39/276,078.08 = 109,415.07/x
  3. Step 3: Cross multiply
    200,059.39x = 276,078.08 × 109,415.07
  4. Step 4: Simplify right side
    200,059.39x = 30,207,102,722.20
  5. Step 5: Solve for x
    x = 30,207,102,722.20/200,059.39
  6. Step 6: Final answer
    x = 150,990.68

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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.