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Finding the Fourth Proportional to 217,718.82, 300,431.43 and 122,206.86

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Solution

The fourth proportional to 217,718.82, 300,431.43 and 122,206.86 is: 168,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,718.82 : 300,431.43 = 122,206.86 : x
  2. Step 2: Convert to fraction form
    217,718.82/300,431.43 = 122,206.86/x
  3. Step 3: Cross multiply
    217,718.82x = 300,431.43 × 122,206.86
  4. Step 4: Simplify right side
    217,718.82x = 36,714,781,705.61
  5. Step 5: Solve for x
    x = 36,714,781,705.61/217,718.82
  6. Step 6: Final answer
    x = 168,633.94

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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.