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Finding the Fourth Proportional to 76,822.20, 115,233.30 and 75,655.80

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Solution

The fourth proportional to 76,822.20, 115,233.30 and 75,655.80 is: 113,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,822.20 : 115,233.30 = 75,655.80 : x
  2. Step 2: Convert to fraction form
    76,822.20/115,233.30 = 75,655.80/x
  3. Step 3: Cross multiply
    76,822.20x = 115,233.30 × 75,655.80
  4. Step 4: Simplify right side
    76,822.20x = 8,718,067,498.14
  5. Step 5: Solve for x
    x = 8,718,067,498.14/76,822.20
  6. Step 6: Final answer
    x = 113,483.70

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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.