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Finding the Fourth Proportional to 221,086.47, 305,099.60 and 120,484.47

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Solution

The fourth proportional to 221,086.47, 305,099.60 and 120,484.47 is: 166,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,086.47 : 305,099.60 = 120,484.47 : x
  2. Step 2: Convert to fraction form
    221,086.47/305,099.60 = 120,484.47/x
  3. Step 3: Cross multiply
    221,086.47x = 305,099.60 × 120,484.47
  4. Step 4: Simplify right side
    221,086.47x = 36,759,763,000.79
  5. Step 5: Solve for x
    x = 36,759,763,000.79/221,086.47
  6. Step 6: Final answer
    x = 166,268.71

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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.