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Finding the Fourth Proportional to 221,780.52, 306,057.12 and 121,178.52

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Solution

The fourth proportional to 221,780.52, 306,057.12 and 121,178.52 is: 167,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,780.52 : 306,057.12 = 121,178.52 : x
  2. Step 2: Convert to fraction form
    221,780.52/306,057.12 = 121,178.52/x
  3. Step 3: Cross multiply
    221,780.52x = 306,057.12 × 121,178.52
  4. Step 4: Simplify right side
    221,780.52x = 37,087,548,837.06
  5. Step 5: Solve for x
    x = 37,087,548,837.06/221,780.52
  6. Step 6: Final answer
    x = 167,226.36

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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.