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Finding the Fourth Proportional to 81,144.96, 121,733.88 and 34,397.68

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Solution

The fourth proportional to 81,144.96, 121,733.88 and 34,397.68 is: 51,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,144.96 : 121,733.88 = 34,397.68 : x
  2. Step 2: Convert to fraction form
    81,144.96/121,733.88 = 34,397.68/x
  3. Step 3: Cross multiply
    81,144.96x = 121,733.88 × 34,397.68
  4. Step 4: Simplify right side
    81,144.96x = 4,187,363,049.40
  5. Step 5: Solve for x
    x = 4,187,363,049.40/81,144.96
  6. Step 6: Final answer
    x = 51,603.49

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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.