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Finding the Fourth Proportional to 72,261.86, 108,294.30 and 34,819.20

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Solution

The fourth proportional to 72,261.86, 108,294.30 and 34,819.20 is: 52,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,261.86 : 108,294.30 = 34,819.20 : x
  2. Step 2: Convert to fraction form
    72,261.86/108,294.30 = 34,819.20/x
  3. Step 3: Cross multiply
    72,261.86x = 108,294.30 × 34,819.20
  4. Step 4: Simplify right side
    72,261.86x = 3,770,720,890.56
  5. Step 5: Solve for x
    x = 3,770,720,890.56/72,261.86
  6. Step 6: Final answer
    x = 52,181.35

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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.