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Finding the Fourth Proportional to 76,827, 115,259.94 and 21,423

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Solution

The fourth proportional to 76,827, 115,259.94 and 21,423 is: 32,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,827 : 115,259.94 = 21,423 : x
  2. Step 2: Convert to fraction form
    76,827/115,259.94 = 21,423/x
  3. Step 3: Cross multiply
    76,827x = 115,259.94 × 21,423
  4. Step 4: Simplify right side
    76,827x = 2,469,213,694.62
  5. Step 5: Solve for x
    x = 2,469,213,694.62/76,827
  6. Step 6: Final answer
    x = 32,139.92

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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.