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Finding the Fourth Proportional to 83,780.92, 115,611.60 and 49,787.92

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Solution

The fourth proportional to 83,780.92, 115,611.60 and 49,787.92 is: 68,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780.92 : 115,611.60 = 49,787.92 : x
  2. Step 2: Convert to fraction form
    83,780.92/115,611.60 = 49,787.92/x
  3. Step 3: Cross multiply
    83,780.92x = 115,611.60 × 49,787.92
  4. Step 4: Simplify right side
    83,780.92x = 5,756,061,091.87
  5. Step 5: Solve for x
    x = 5,756,061,091.87/83,780.92
  6. Step 6: Final answer
    x = 68,703.72

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1.5x scale

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.