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Finding the Fourth Proportional to 53,881.76, 80,833.44 and 18,812

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Solution

The fourth proportional to 53,881.76, 80,833.44 and 18,812 is: 28,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,881.76 : 80,833.44 = 18,812 : x
  2. Step 2: Convert to fraction form
    53,881.76/80,833.44 = 18,812/x
  3. Step 3: Cross multiply
    53,881.76x = 80,833.44 × 18,812
  4. Step 4: Simplify right side
    53,881.76x = 1,520,638,673.28
  5. Step 5: Solve for x
    x = 1,520,638,673.28/53,881.76
  6. Step 6: Final answer
    x = 28,221.77

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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.