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Finding the Fourth Proportional to 221,780.44, 306,057.01 and 121,178.44

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Solution

The fourth proportional to 221,780.44, 306,057.01 and 121,178.44 is: 167,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,780.44 : 306,057.01 = 121,178.44 : x
  2. Step 2: Convert to fraction form
    221,780.44/306,057.01 = 121,178.44/x
  3. Step 3: Cross multiply
    221,780.44x = 306,057.01 × 121,178.44
  4. Step 4: Simplify right side
    221,780.44x = 37,087,509,954.78
  5. Step 5: Solve for x
    x = 37,087,509,954.78/221,780.44
  6. Step 6: Final answer
    x = 167,226.25

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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.