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Finding the Fourth Proportional to 128,317.15, 192,472.49 and 34,820.47

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Solution

The fourth proportional to 128,317.15, 192,472.49 and 34,820.47 is: 52,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,317.15 : 192,472.49 = 34,820.47 : x
  2. Step 2: Convert to fraction form
    128,317.15/192,472.49 = 34,820.47/x
  3. Step 3: Cross multiply
    128,317.15x = 192,472.49 × 34,820.47
  4. Step 4: Simplify right side
    128,317.15x = 6,701,982,563.87
  5. Step 5: Solve for x
    x = 6,701,982,563.87/128,317.15
  6. Step 6: Final answer
    x = 52,229.83

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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.