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Finding the Fourth Proportional to 109,350, 150,903 and 59,049

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Solution

The fourth proportional to 109,350, 150,903 and 59,049 is: 81,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,350 : 150,903 = 59,049 : x
  2. Step 2: Convert to fraction form
    109,350/150,903 = 59,049/x
  3. Step 3: Cross multiply
    109,350x = 150,903 × 59,049
  4. Step 4: Simplify right side
    109,350x = 8,910,671,247
  5. Step 5: Solve for x
    x = 8,910,671,247/109,350
  6. Step 6: Final answer
    x = 81,487.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.