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Finding the Fourth Proportional to 76,656, 114,984 and 21,252

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Solution

The fourth proportional to 76,656, 114,984 and 21,252 is: 31,878

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656 : 114,984 = 21,252 : x
  2. Step 2: Convert to fraction form
    76,656/114,984 = 21,252/x
  3. Step 3: Cross multiply
    76,656x = 114,984 × 21,252
  4. Step 4: Simplify right side
    76,656x = 2,443,639,968
  5. Step 5: Solve for x
    x = 2,443,639,968/76,656
  6. Step 6: Final answer
    x = 31,878

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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.