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Finding the Fourth Proportional to 217,564.35, 300,243.98 and 122,078.11

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Solution

The fourth proportional to 217,564.35, 300,243.98 and 122,078.11 is: 168,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,564.35 : 300,243.98 = 122,078.11 : x
  2. Step 2: Convert to fraction form
    217,564.35/300,243.98 = 122,078.11/x
  3. Step 3: Cross multiply
    217,564.35x = 300,243.98 × 122,078.11
  4. Step 4: Simplify right side
    217,564.35x = 36,653,216,714.07
  5. Step 5: Solve for x
    x = 36,653,216,714.07/217,564.35
  6. Step 6: Final answer
    x = 168,470.69

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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.