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Finding the Fourth Proportional to 221,530.30, 305,712.24 and 120,928.30

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Solution

The fourth proportional to 221,530.30, 305,712.24 and 120,928.30 is: 166,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,530.30 : 305,712.24 = 120,928.30 : x
  2. Step 2: Convert to fraction form
    221,530.30/305,712.24 = 120,928.30/x
  3. Step 3: Cross multiply
    221,530.30x = 305,712.24 × 120,928.30
  4. Step 4: Simplify right side
    221,530.30x = 36,969,261,472.39
  5. Step 5: Solve for x
    x = 36,969,261,472.39/221,530.30
  6. Step 6: Final answer
    x = 166,881.29

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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.