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Finding the Fourth Proportional to 136,083.84, 203,689 and 72,745.57

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Solution

The fourth proportional to 136,083.84, 203,689 and 72,745.57 is: 108,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,083.84 : 203,689 = 72,745.57 : x
  2. Step 2: Convert to fraction form
    136,083.84/203,689 = 72,745.57/x
  3. Step 3: Cross multiply
    136,083.84x = 203,689 × 72,745.57
  4. Step 4: Simplify right side
    136,083.84x = 14,817,472,407.73
  5. Step 5: Solve for x
    x = 14,817,472,407.73/136,083.84
  6. Step 6: Final answer
    x = 108,884.88

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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.