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Finding the Fourth Proportional to 83,596.42, 115,352.22 and 47,788.78

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Solution

The fourth proportional to 83,596.42, 115,352.22 and 47,788.78 is: 65,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.42 : 115,352.22 = 47,788.78 : x
  2. Step 2: Convert to fraction form
    83,596.42/115,352.22 = 47,788.78/x
  3. Step 3: Cross multiply
    83,596.42x = 115,352.22 × 47,788.78
  4. Step 4: Simplify right side
    83,596.42x = 5,512,541,864.09
  5. Step 5: Solve for x
    x = 5,512,541,864.09/83,596.42
  6. Step 6: Final answer
    x = 65,942.32

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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.