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Finding the Fourth Proportional to 50,853, 76,279.50 and 13,917

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Solution

The fourth proportional to 50,853, 76,279.50 and 13,917 is: 20,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,853 : 76,279.50 = 13,917 : x
  2. Step 2: Convert to fraction form
    50,853/76,279.50 = 13,917/x
  3. Step 3: Cross multiply
    50,853x = 76,279.50 × 13,917
  4. Step 4: Simplify right side
    50,853x = 1,061,581,801.50
  5. Step 5: Solve for x
    x = 1,061,581,801.50/50,853
  6. Step 6: Final answer
    x = 20,875.50

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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.