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Finding the Fourth Proportional to 76,803.67, 115,114.98 and 34,634.38

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Solution

The fourth proportional to 76,803.67, 115,114.98 and 34,634.38 is: 51,910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,803.67 : 115,114.98 = 34,634.38 : x
  2. Step 2: Convert to fraction form
    76,803.67/115,114.98 = 34,634.38/x
  3. Step 3: Cross multiply
    76,803.67x = 115,114.98 × 34,634.38
  4. Step 4: Simplify right side
    76,803.67x = 3,986,935,961.01
  5. Step 5: Solve for x
    x = 3,986,935,961.01/76,803.67
  6. Step 6: Final answer
    x = 51,910.75

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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.