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Finding the Fourth Proportional to 218,137.67, 301,033.74 and 121,349.25

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Solution

The fourth proportional to 218,137.67, 301,033.74 and 121,349.25 is: 167,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,137.67 : 301,033.74 = 121,349.25 : x
  2. Step 2: Convert to fraction form
    218,137.67/301,033.74 = 121,349.25/x
  3. Step 3: Cross multiply
    218,137.67x = 301,033.74 × 121,349.25
  4. Step 4: Simplify right side
    218,137.67x = 36,530,218,573.70
  5. Step 5: Solve for x
    x = 36,530,218,573.70/218,137.67
  6. Step 6: Final answer
    x = 167,464.06

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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.