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Finding the Fourth Proportional to 221,783, 306,062.70 and 121,181

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Solution

The fourth proportional to 221,783, 306,062.70 and 121,181 is: 167,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,783 : 306,062.70 = 121,181 : x
  2. Step 2: Convert to fraction form
    221,783/306,062.70 = 121,181/x
  3. Step 3: Cross multiply
    221,783x = 306,062.70 × 121,181
  4. Step 4: Simplify right side
    221,783x = 37,088,984,048.70
  5. Step 5: Solve for x
    x = 37,088,984,048.70/221,783
  6. Step 6: Final answer
    x = 167,230.96

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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.