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Finding the Fourth Proportional to 51,092, 76,638 and 14,156

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Solution

The fourth proportional to 51,092, 76,638 and 14,156 is: 21,234

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,092 : 76,638 = 14,156 : x
  2. Step 2: Convert to fraction form
    51,092/76,638 = 14,156/x
  3. Step 3: Cross multiply
    51,092x = 76,638 × 14,156
  4. Step 4: Simplify right side
    51,092x = 1,084,887,528
  5. Step 5: Solve for x
    x = 1,084,887,528/51,092
  6. Step 6: Final answer
    x = 21,234

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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.