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Finding the Fourth Proportional to 71,781.76, 107,695.77 and 21,871.54

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Solution

The fourth proportional to 71,781.76, 107,695.77 and 21,871.54 is: 32,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,781.76 : 107,695.77 = 21,871.54 : x
  2. Step 2: Convert to fraction form
    71,781.76/107,695.77 = 21,871.54/x
  3. Step 3: Cross multiply
    71,781.76x = 107,695.77 × 21,871.54
  4. Step 4: Simplify right side
    71,781.76x = 2,355,472,341.39
  5. Step 5: Solve for x
    x = 2,355,472,341.39/71,781.76
  6. Step 6: Final answer
    x = 32,814.36

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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.