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Finding the Fourth Proportional to 209,978.80, 314,768.65 and 133,863.67

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Solution

The fourth proportional to 209,978.80, 314,768.65 and 133,863.67 is: 200,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,978.80 : 314,768.65 = 133,863.67 : x
  2. Step 2: Convert to fraction form
    209,978.80/314,768.65 = 133,863.67/x
  3. Step 3: Cross multiply
    209,978.80x = 314,768.65 × 133,863.67
  4. Step 4: Simplify right side
    209,978.80x = 42,136,086,355.29
  5. Step 5: Solve for x
    x = 42,136,086,355.29/209,978.80
  6. Step 6: Final answer
    x = 200,668.29

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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.