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Finding the Fourth Proportional to 212,229, 292,876.20 and 122,805

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Solution

The fourth proportional to 212,229, 292,876.20 and 122,805 is: 169,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,229 : 292,876.20 = 122,805 : x
  2. Step 2: Convert to fraction form
    212,229/292,876.20 = 122,805/x
  3. Step 3: Cross multiply
    212,229x = 292,876.20 × 122,805
  4. Step 4: Simplify right side
    212,229x = 35,966,661,741
  5. Step 5: Solve for x
    x = 35,966,661,741/212,229
  6. Step 6: Final answer
    x = 169,471.00

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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.