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Finding the Fourth Proportional to 200,405.66, 276,559.92 and 109,767.33

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Solution

The fourth proportional to 200,405.66, 276,559.92 and 109,767.33 is: 151,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,405.66 : 276,559.92 = 109,767.33 : x
  2. Step 2: Convert to fraction form
    200,405.66/276,559.92 = 109,767.33/x
  3. Step 3: Cross multiply
    200,405.66x = 276,559.92 × 109,767.33
  4. Step 4: Simplify right side
    200,405.66x = 30,357,244,003.41
  5. Step 5: Solve for x
    x = 30,357,244,003.41/200,405.66
  6. Step 6: Final answer
    x = 151,478.98

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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.