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Finding the Fourth Proportional to 84,371.68, 126,494.86 and 51,083.80

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Solution

The fourth proportional to 84,371.68, 126,494.86 and 51,083.80 is: 76,587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,371.68 : 126,494.86 = 51,083.80 : x
  2. Step 2: Convert to fraction form
    84,371.68/126,494.86 = 51,083.80/x
  3. Step 3: Cross multiply
    84,371.68x = 126,494.86 × 51,083.80
  4. Step 4: Simplify right side
    84,371.68x = 6,461,838,129.27
  5. Step 5: Solve for x
    x = 6,461,838,129.27/84,371.68
  6. Step 6: Final answer
    x = 76,587.76

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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.