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Finding the Fourth Proportional to 221,876.28, 306,189.42 and 121,274.28

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Solution

The fourth proportional to 221,876.28, 306,189.42 and 121,274.28 is: 167,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,876.28 : 306,189.42 = 121,274.28 : x
  2. Step 2: Convert to fraction form
    221,876.28/306,189.42 = 121,274.28/x
  3. Step 3: Cross multiply
    221,876.28x = 306,189.42 × 121,274.28
  4. Step 4: Simplify right side
    221,876.28x = 37,132,901,454.12
  5. Step 5: Solve for x
    x = 37,132,901,454.12/221,876.28
  6. Step 6: Final answer
    x = 167,358.59

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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.