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Finding the Fourth Proportional to 221,780.50, 306,057.09 and 121,178.50

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Solution

The fourth proportional to 221,780.50, 306,057.09 and 121,178.50 is: 167,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,780.50 : 306,057.09 = 121,178.50 : x
  2. Step 2: Convert to fraction form
    221,780.50/306,057.09 = 121,178.50/x
  3. Step 3: Cross multiply
    221,780.50x = 306,057.09 × 121,178.50
  4. Step 4: Simplify right side
    221,780.50x = 37,087,539,080.57
  5. Step 5: Solve for x
    x = 37,087,539,080.57/221,780.50
  6. Step 6: Final answer
    x = 167,226.33

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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.