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Finding the Fourth Proportional to 76,873.32, 115,309.98 and 21,467.88

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Solution

The fourth proportional to 76,873.32, 115,309.98 and 21,467.88 is: 32,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,873.32 : 115,309.98 = 21,467.88 : x
  2. Step 2: Convert to fraction form
    76,873.32/115,309.98 = 21,467.88/x
  3. Step 3: Cross multiply
    76,873.32x = 115,309.98 × 21,467.88
  4. Step 4: Simplify right side
    76,873.32x = 2,475,460,813.44
  5. Step 5: Solve for x
    x = 2,475,460,813.44/76,873.32
  6. Step 6: Final answer
    x = 32,201.82

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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.