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Finding the Fourth Proportional to 214,906.87, 296,495.70 and 122,959

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Solution

The fourth proportional to 214,906.87, 296,495.70 and 122,959 is: 169,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,906.87 : 296,495.70 = 122,959 : x
  2. Step 2: Convert to fraction form
    214,906.87/296,495.70 = 122,959/x
  3. Step 3: Cross multiply
    214,906.87x = 296,495.70 × 122,959
  4. Step 4: Simplify right side
    214,906.87x = 36,456,814,776.30
  5. Step 5: Solve for x
    x = 36,456,814,776.30/214,906.87
  6. Step 6: Final answer
    x = 169,640.06

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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.