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Finding the Fourth Proportional to 73,992.80, 110,928.45 and 31,905.20

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Solution

The fourth proportional to 73,992.80, 110,928.45 and 31,905.20 is: 47,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,992.80 : 110,928.45 = 31,905.20 : x
  2. Step 2: Convert to fraction form
    73,992.80/110,928.45 = 31,905.20/x
  3. Step 3: Cross multiply
    73,992.80x = 110,928.45 × 31,905.20
  4. Step 4: Simplify right side
    73,992.80x = 3,539,194,382.94
  5. Step 5: Solve for x
    x = 3,539,194,382.94/73,992.80
  6. Step 6: Final answer
    x = 47,831.61

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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.