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Finding the Fourth Proportional to 76,642, 114,963 and 21,238

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Solution

The fourth proportional to 76,642, 114,963 and 21,238 is: 31,857

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,642 : 114,963 = 21,238 : x
  2. Step 2: Convert to fraction form
    76,642/114,963 = 21,238/x
  3. Step 3: Cross multiply
    76,642x = 114,963 × 21,238
  4. Step 4: Simplify right side
    76,642x = 2,441,584,194
  5. Step 5: Solve for x
    x = 2,441,584,194/76,642
  6. Step 6: Final answer
    x = 31,857

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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.