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Finding the Fourth Proportional to 223,672.14, 308,658.32 and 121,698

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Solution

The fourth proportional to 223,672.14, 308,658.32 and 121,698 is: 167,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,672.14 : 308,658.32 = 121,698 : x
  2. Step 2: Convert to fraction form
    223,672.14/308,658.32 = 121,698/x
  3. Step 3: Cross multiply
    223,672.14x = 308,658.32 × 121,698
  4. Step 4: Simplify right side
    223,672.14x = 37,563,099,618.87
  5. Step 5: Solve for x
    x = 37,563,099,618.87/223,672.14
  6. Step 6: Final answer
    x = 167,938.21

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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.