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Finding the Fourth Proportional to 221,229.20, 305,296.58 and 120,627.20

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Solution

The fourth proportional to 221,229.20, 305,296.58 and 120,627.20 is: 166,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,229.20 : 305,296.58 = 120,627.20 : x
  2. Step 2: Convert to fraction form
    221,229.20/305,296.58 = 120,627.20/x
  3. Step 3: Cross multiply
    221,229.20x = 305,296.58 × 120,627.20
  4. Step 4: Simplify right side
    221,229.20x = 36,827,071,614.98
  5. Step 5: Solve for x
    x = 36,827,071,614.98/221,229.20
  6. Step 6: Final answer
    x = 166,465.69

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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.