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Finding the Fourth Proportional to 83,422.65, 115,125.12 and 47,611.94

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Solution

The fourth proportional to 83,422.65, 115,125.12 and 47,611.94 is: 65,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,422.65 : 115,125.12 = 47,611.94 : x
  2. Step 2: Convert to fraction form
    83,422.65/115,125.12 = 47,611.94/x
  3. Step 3: Cross multiply
    83,422.65x = 115,125.12 × 47,611.94
  4. Step 4: Simplify right side
    83,422.65x = 5,481,330,067.87
  5. Step 5: Solve for x
    x = 5,481,330,067.87/83,422.65
  6. Step 6: Final answer
    x = 65,705.54

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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.