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Finding the Fourth Proportional to 189,337.64, 283,735.80 and 139,022.97

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Solution

The fourth proportional to 189,337.64, 283,735.80 and 139,022.97 is: 208,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,337.64 : 283,735.80 = 139,022.97 : x
  2. Step 2: Convert to fraction form
    189,337.64/283,735.80 = 139,022.97/x
  3. Step 3: Cross multiply
    189,337.64x = 283,735.80 × 139,022.97
  4. Step 4: Simplify right side
    189,337.64x = 39,445,793,611.33
  5. Step 5: Solve for x
    x = 39,445,793,611.33/189,337.64
  6. Step 6: Final answer
    x = 208,335.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.