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Finding the Fourth Proportional to 76,753.98, 115,146.50 and 32,380.83

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Solution

The fourth proportional to 76,753.98, 115,146.50 and 32,380.83 is: 48,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,753.98 : 115,146.50 = 32,380.83 : x
  2. Step 2: Convert to fraction form
    76,753.98/115,146.50 = 32,380.83/x
  3. Step 3: Cross multiply
    76,753.98x = 115,146.50 × 32,380.83
  4. Step 4: Simplify right side
    76,753.98x = 3,728,539,079.69
  5. Step 5: Solve for x
    x = 3,728,539,079.69/76,753.98
  6. Step 6: Final answer
    x = 48,577.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.