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Finding the Fourth Proportional to 78,191.92, 107,919.30 and 44,657.92

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Solution

The fourth proportional to 78,191.92, 107,919.30 and 44,657.92 is: 61,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,191.92 : 107,919.30 = 44,657.92 : x
  2. Step 2: Convert to fraction form
    78,191.92/107,919.30 = 44,657.92/x
  3. Step 3: Cross multiply
    78,191.92x = 107,919.30 × 44,657.92
  4. Step 4: Simplify right side
    78,191.92x = 4,819,451,465.86
  5. Step 5: Solve for x
    x = 4,819,451,465.86/78,191.92
  6. Step 6: Final answer
    x = 61,636.18

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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.