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Finding the Fourth Proportional to 51,327, 76,990.68 and 14,391

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Solution

The fourth proportional to 51,327, 76,990.68 and 14,391 is: 21,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,327 : 76,990.68 = 14,391 : x
  2. Step 2: Convert to fraction form
    51,327/76,990.68 = 14,391/x
  3. Step 3: Cross multiply
    51,327x = 76,990.68 × 14,391
  4. Step 4: Simplify right side
    51,327x = 1,107,972,875.88
  5. Step 5: Solve for x
    x = 1,107,972,875.88/51,327
  6. Step 6: Final answer
    x = 21,586.55

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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.