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Finding the Fourth Proportional to 76,793.16, 115,142.22 and 29,991

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Solution

The fourth proportional to 76,793.16, 115,142.22 and 29,991 is: 44,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,793.16 : 115,142.22 = 29,991 : x
  2. Step 2: Convert to fraction form
    76,793.16/115,142.22 = 29,991/x
  3. Step 3: Cross multiply
    76,793.16x = 115,142.22 × 29,991
  4. Step 4: Simplify right side
    76,793.16x = 3,453,230,320.02
  5. Step 5: Solve for x
    x = 3,453,230,320.02/76,793.16
  6. Step 6: Final answer
    x = 44,967.94

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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.