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Finding the Fourth Proportional to 76,410.92, 114,610.95 and 20,249.78

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Solution

The fourth proportional to 76,410.92, 114,610.95 and 20,249.78 is: 30,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,410.92 : 114,610.95 = 20,249.78 : x
  2. Step 2: Convert to fraction form
    76,410.92/114,610.95 = 20,249.78/x
  3. Step 3: Cross multiply
    76,410.92x = 114,610.95 × 20,249.78
  4. Step 4: Simplify right side
    76,410.92x = 2,320,845,950.04
  5. Step 5: Solve for x
    x = 2,320,845,950.04/76,410.92
  6. Step 6: Final answer
    x = 30,373.23

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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.