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Finding the Fourth Proportional to 204,521.76, 306,799.04 and 71,399.07

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Solution

The fourth proportional to 204,521.76, 306,799.04 and 71,399.07 is: 107,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,521.76 : 306,799.04 = 71,399.07 : x
  2. Step 2: Convert to fraction form
    204,521.76/306,799.04 = 71,399.07/x
  3. Step 3: Cross multiply
    204,521.76x = 306,799.04 × 71,399.07
  4. Step 4: Simplify right side
    204,521.76x = 21,905,166,311.39
  5. Step 5: Solve for x
    x = 21,905,166,311.39/204,521.76
  6. Step 6: Final answer
    x = 107,104.33

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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.