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Finding the Fourth Proportional to 221,572.92, 305,769.42 and 120,970.20

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Solution

The fourth proportional to 221,572.92, 305,769.42 and 120,970.20 is: 166,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,572.92 : 305,769.42 = 120,970.20 : x
  2. Step 2: Convert to fraction form
    221,572.92/305,769.42 = 120,970.20/x
  3. Step 3: Cross multiply
    221,572.92x = 305,769.42 × 120,970.20
  4. Step 4: Simplify right side
    221,572.92x = 36,988,987,891.28
  5. Step 5: Solve for x
    x = 36,988,987,891.28/221,572.92
  6. Step 6: Final answer
    x = 166,938.22

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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.