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Finding the Fourth Proportional to 221,145.60, 305,180.16 and 120,543.60

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Solution

The fourth proportional to 221,145.60, 305,180.16 and 120,543.60 is: 166,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,145.60 : 305,180.16 = 120,543.60 : x
  2. Step 2: Convert to fraction form
    221,145.60/305,180.16 = 120,543.60/x
  3. Step 3: Cross multiply
    221,145.60x = 305,180.16 × 120,543.60
  4. Step 4: Simplify right side
    221,145.60x = 36,787,515,134.98
  5. Step 5: Solve for x
    x = 36,787,515,134.98/221,145.60
  6. Step 6: Final answer
    x = 166,349.75

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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.