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Finding the Fourth Proportional to 224,614.11, 309,968.12 and 122,640.45

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Solution

The fourth proportional to 224,614.11, 309,968.12 and 122,640.45 is: 169,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,614.11 : 309,968.12 = 122,640.45 : x
  2. Step 2: Convert to fraction form
    224,614.11/309,968.12 = 122,640.45/x
  3. Step 3: Cross multiply
    224,614.11x = 309,968.12 × 122,640.45
  4. Step 4: Simplify right side
    224,614.11x = 38,014,629,109.25
  5. Step 5: Solve for x
    x = 38,014,629,109.25/224,614.11
  6. Step 6: Final answer
    x = 169,244.17

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Why These Related Problems?

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