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Finding the Fourth Proportional to 212,224, 292,910.72 and 121,640.69

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Solution

The fourth proportional to 212,224, 292,910.72 and 121,640.69 is: 167,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,224 : 292,910.72 = 121,640.69 : x
  2. Step 2: Convert to fraction form
    212,224/292,910.72 = 121,640.69/x
  3. Step 3: Cross multiply
    212,224x = 292,910.72 × 121,640.69
  4. Step 4: Simplify right side
    212,224x = 35,629,861,661.02
  5. Step 5: Solve for x
    x = 35,629,861,661.02/212,224
  6. Step 6: Final answer
    x = 167,887.99

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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.