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Finding the Fourth Proportional to 76,879.83, 115,362.80 and 32,539.77

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Solution

The fourth proportional to 76,879.83, 115,362.80 and 32,539.77 is: 48,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,879.83 : 115,362.80 = 32,539.77 : x
  2. Step 2: Convert to fraction form
    76,879.83/115,362.80 = 32,539.77/x
  3. Step 3: Cross multiply
    76,879.83x = 115,362.80 × 32,539.77
  4. Step 4: Simplify right side
    76,879.83x = 3,753,879,059.91
  5. Step 5: Solve for x
    x = 3,753,879,059.91/76,879.83
  6. Step 6: Final answer
    x = 48,827.88

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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.