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Finding the Fourth Proportional to 20,200.78, 30,286.59 and 7,718.68

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Solution

The fourth proportional to 20,200.78, 30,286.59 and 7,718.68 is: 11,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.78 : 30,286.59 = 7,718.68 : x
  2. Step 2: Convert to fraction form
    20,200.78/30,286.59 = 7,718.68/x
  3. Step 3: Cross multiply
    20,200.78x = 30,286.59 × 7,718.68
  4. Step 4: Simplify right side
    20,200.78x = 233,772,496.50
  5. Step 5: Solve for x
    x = 233,772,496.50/20,200.78
  6. Step 6: Final answer
    x = 11,572.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.