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Finding the Fourth Proportional to 76,866, 115,299 and 21,462

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Solution

The fourth proportional to 76,866, 115,299 and 21,462 is: 32,193

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,866 : 115,299 = 21,462 : x
  2. Step 2: Convert to fraction form
    76,866/115,299 = 21,462/x
  3. Step 3: Cross multiply
    76,866x = 115,299 × 21,462
  4. Step 4: Simplify right side
    76,866x = 2,474,547,138
  5. Step 5: Solve for x
    x = 2,474,547,138/76,866
  6. Step 6: Final answer
    x = 32,193

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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.