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Finding the Fourth Proportional to 189,432.71, 283,998.17 and 109,379.90

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Solution

The fourth proportional to 189,432.71, 283,998.17 and 109,379.90 is: 163,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,432.71 : 283,998.17 = 109,379.90 : x
  2. Step 2: Convert to fraction form
    189,432.71/283,998.17 = 109,379.90/x
  3. Step 3: Cross multiply
    189,432.71x = 283,998.17 × 109,379.90
  4. Step 4: Simplify right side
    189,432.71x = 31,063,689,467.89
  5. Step 5: Solve for x
    x = 31,063,689,467.89/189,432.71
  6. Step 6: Final answer
    x = 163,982.72

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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.