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Finding the Fourth Proportional to 200,117.56, 276,169.35 and 109,468.12

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Solution

The fourth proportional to 200,117.56, 276,169.35 and 109,468.12 is: 151,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,117.56 : 276,169.35 = 109,468.12 : x
  2. Step 2: Convert to fraction form
    200,117.56/276,169.35 = 109,468.12/x
  3. Step 3: Cross multiply
    200,117.56x = 276,169.35 × 109,468.12
  4. Step 4: Simplify right side
    200,117.56x = 30,231,739,546.12
  5. Step 5: Solve for x
    x = 30,231,739,546.12/200,117.56
  6. Step 6: Final answer
    x = 151,069.90

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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.