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Finding the Fourth Proportional to 217,717.65, 300,433.76 and 122,205.89

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Solution

The fourth proportional to 217,717.65, 300,433.76 and 122,205.89 is: 168,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,717.65 : 300,433.76 = 122,205.89 : x
  2. Step 2: Convert to fraction form
    217,717.65/300,433.76 = 122,205.89/x
  3. Step 3: Cross multiply
    217,717.65x = 300,433.76 × 122,205.89
  4. Step 4: Simplify right side
    217,717.65x = 36,714,774,581.28
  5. Step 5: Solve for x
    x = 36,714,774,581.28/217,717.65
  6. Step 6: Final answer
    x = 168,634.81

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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.