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Finding the Fourth Proportional to 221,906.34, 306,235.44 and 121,304.34

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Solution

The fourth proportional to 221,906.34, 306,235.44 and 121,304.34 is: 167,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,906.34 : 306,235.44 = 121,304.34 : x
  2. Step 2: Convert to fraction form
    221,906.34/306,235.44 = 121,304.34/x
  3. Step 3: Cross multiply
    221,906.34x = 306,235.44 × 121,304.34
  4. Step 4: Simplify right side
    221,906.34x = 37,147,687,933.81
  5. Step 5: Solve for x
    x = 37,147,687,933.81/221,906.34
  6. Step 6: Final answer
    x = 167,402.55

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1.5x scale

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.