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Finding the Fourth Proportional to 217,866.12, 300,648.69 and 121,069.65

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Solution

The fourth proportional to 217,866.12, 300,648.69 and 121,069.65 is: 167,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,866.12 : 300,648.69 = 121,069.65 : x
  2. Step 2: Convert to fraction form
    217,866.12/300,648.69 = 121,069.65/x
  3. Step 3: Cross multiply
    217,866.12x = 300,648.69 × 121,069.65
  4. Step 4: Simplify right side
    217,866.12x = 36,399,431,671.26
  5. Step 5: Solve for x
    x = 36,399,431,671.26/217,866.12
  6. Step 6: Final answer
    x = 167,072.47

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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.