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Finding the Fourth Proportional to 136,660.84, 188,593.38 and 76,237

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Solution

The fourth proportional to 136,660.84, 188,593.38 and 76,237 is: 105,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,660.84 : 188,593.38 = 76,237 : x
  2. Step 2: Convert to fraction form
    136,660.84/188,593.38 = 76,237/x
  3. Step 3: Cross multiply
    136,660.84x = 188,593.38 × 76,237
  4. Step 4: Simplify right side
    136,660.84x = 14,377,793,511.06
  5. Step 5: Solve for x
    x = 14,377,793,511.06/136,660.84
  6. Step 6: Final answer
    x = 105,207.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.