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Finding the Fourth Proportional to 89,500.49, 123,508.07 and 49,214.21

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Solution

The fourth proportional to 89,500.49, 123,508.07 and 49,214.21 is: 67,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,500.49 : 123,508.07 = 49,214.21 : x
  2. Step 2: Convert to fraction form
    89,500.49/123,508.07 = 49,214.21/x
  3. Step 3: Cross multiply
    89,500.49x = 123,508.07 × 49,214.21
  4. Step 4: Simplify right side
    89,500.49x = 6,078,351,847.60
  5. Step 5: Solve for x
    x = 6,078,351,847.60/89,500.49
  6. Step 6: Final answer
    x = 67,914.17

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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.