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Finding the Fourth Proportional to 71,438.10, 107,161.61 and 18,847.64

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Solution

The fourth proportional to 71,438.10, 107,161.61 and 18,847.64 is: 28,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,438.10 : 107,161.61 = 18,847.64 : x
  2. Step 2: Convert to fraction form
    71,438.10/107,161.61 = 18,847.64/x
  3. Step 3: Cross multiply
    71,438.10x = 107,161.61 × 18,847.64
  4. Step 4: Simplify right side
    71,438.10x = 2,019,742,817.05
  5. Step 5: Solve for x
    x = 2,019,742,817.05/71,438.10
  6. Step 6: Final answer
    x = 28,272.63

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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.