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Finding the Fourth Proportional to 76,644, 114,966 and 21,240

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Solution

The fourth proportional to 76,644, 114,966 and 21,240 is: 31,860

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,644 : 114,966 = 21,240 : x
  2. Step 2: Convert to fraction form
    76,644/114,966 = 21,240/x
  3. Step 3: Cross multiply
    76,644x = 114,966 × 21,240
  4. Step 4: Simplify right side
    76,644x = 2,441,877,840
  5. Step 5: Solve for x
    x = 2,441,877,840/76,644
  6. Step 6: Final answer
    x = 31,860

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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.