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Finding the Fourth Proportional to 223,711.26, 308,717.55 and 121,733.25

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Solution

The fourth proportional to 223,711.26, 308,717.55 and 121,733.25 is: 167,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,711.26 : 308,717.55 = 121,733.25 : x
  2. Step 2: Convert to fraction form
    223,711.26/308,717.55 = 121,733.25/x
  3. Step 3: Cross multiply
    223,711.26x = 308,717.55 × 121,733.25
  4. Step 4: Simplify right side
    223,711.26x = 37,581,190,693.54
  5. Step 5: Solve for x
    x = 37,581,190,693.54/223,711.26
  6. Step 6: Final answer
    x = 167,989.71

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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.