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Finding the Fourth Proportional to 76,854, 115,288.56 and 21,450

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Solution

The fourth proportional to 76,854, 115,288.56 and 21,450 is: 32,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854 : 115,288.56 = 21,450 : x
  2. Step 2: Convert to fraction form
    76,854/115,288.56 = 21,450/x
  3. Step 3: Cross multiply
    76,854x = 115,288.56 × 21,450
  4. Step 4: Simplify right side
    76,854x = 2,472,939,612
  5. Step 5: Solve for x
    x = 2,472,939,612/76,854
  6. Step 6: Final answer
    x = 32,177.11

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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.