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Finding the Fourth Proportional to 221,853.34, 306,157.62 and 121,251.34

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Solution

The fourth proportional to 221,853.34, 306,157.62 and 121,251.34 is: 167,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,853.34 : 306,157.62 = 121,251.34 : x
  2. Step 2: Convert to fraction form
    221,853.34/306,157.62 = 121,251.34/x
  3. Step 3: Cross multiply
    221,853.34x = 306,157.62 × 121,251.34
  4. Step 4: Simplify right side
    221,853.34x = 37,122,021,676.21
  5. Step 5: Solve for x
    x = 37,122,021,676.21/221,853.34
  6. Step 6: Final answer
    x = 167,326.86

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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.