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Finding the Fourth Proportional to 30,202.62, 41,678.46 and 16,774.72

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Solution

The fourth proportional to 30,202.62, 41,678.46 and 16,774.72 is: 23,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.62 : 41,678.46 = 16,774.72 : x
  2. Step 2: Convert to fraction form
    30,202.62/41,678.46 = 16,774.72/x
  3. Step 3: Cross multiply
    30,202.62x = 41,678.46 × 16,774.72
  4. Step 4: Simplify right side
    30,202.62x = 699,144,496.53
  5. Step 5: Solve for x
    x = 699,144,496.53/30,202.62
  6. Step 6: Final answer
    x = 23,148.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.