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Finding the Fourth Proportional to 56,107.72, 84,102.49 and 18,657.73

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Solution

The fourth proportional to 56,107.72, 84,102.49 and 18,657.73 is: 27,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,107.72 : 84,102.49 = 18,657.73 : x
  2. Step 2: Convert to fraction form
    56,107.72/84,102.49 = 18,657.73/x
  3. Step 3: Cross multiply
    56,107.72x = 84,102.49 × 18,657.73
  4. Step 4: Simplify right side
    56,107.72x = 1,569,161,550.75
  5. Step 5: Solve for x
    x = 1,569,161,550.75/56,107.72
  6. Step 6: Final answer
    x = 27,966.95

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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.