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Finding the Fourth Proportional to 125,920.92, 188,944.62 and 78,523.72

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Solution

The fourth proportional to 125,920.92, 188,944.62 and 78,523.72 is: 117,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,920.92 : 188,944.62 = 78,523.72 : x
  2. Step 2: Convert to fraction form
    125,920.92/188,944.62 = 78,523.72/x
  3. Step 3: Cross multiply
    125,920.92x = 188,944.62 × 78,523.72
  4. Step 4: Simplify right side
    125,920.92x = 14,836,634,436.39
  5. Step 5: Solve for x
    x = 14,836,634,436.39/125,920.92
  6. Step 6: Final answer
    x = 117,825.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.