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Finding the Fourth Proportional to 71,864.32, 107,788.21 and 19,269.67

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Solution

The fourth proportional to 71,864.32, 107,788.21 and 19,269.67 is: 28,902.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,864.32 : 107,788.21 = 19,269.67 : x
  2. Step 2: Convert to fraction form
    71,864.32/107,788.21 = 19,269.67/x
  3. Step 3: Cross multiply
    71,864.32x = 107,788.21 × 19,269.67
  4. Step 4: Simplify right side
    71,864.32x = 2,077,043,236.59
  5. Step 5: Solve for x
    x = 2,077,043,236.59/71,864.32
  6. Step 6: Final answer
    x = 28,902.29

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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.