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Finding the Fourth Proportional to 83,426.12, 115,099.86 and 47,590.92

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Solution

The fourth proportional to 83,426.12, 115,099.86 and 47,590.92 is: 65,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,426.12 : 115,099.86 = 47,590.92 : x
  2. Step 2: Convert to fraction form
    83,426.12/115,099.86 = 47,590.92/x
  3. Step 3: Cross multiply
    83,426.12x = 115,099.86 × 47,590.92
  4. Step 4: Simplify right side
    83,426.12x = 5,477,708,229.27
  5. Step 5: Solve for x
    x = 5,477,708,229.27/83,426.12
  6. Step 6: Final answer
    x = 65,659.39

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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.