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Finding the Fourth Proportional to 73,139.54, 109,709.30 and 19,831.82

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Solution

The fourth proportional to 73,139.54, 109,709.30 and 19,831.82 is: 29,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,139.54 : 109,709.30 = 19,831.82 : x
  2. Step 2: Convert to fraction form
    73,139.54/109,709.30 = 19,831.82/x
  3. Step 3: Cross multiply
    73,139.54x = 109,709.30 × 19,831.82
  4. Step 4: Simplify right side
    73,139.54x = 2,175,734,990.77
  5. Step 5: Solve for x
    x = 2,175,734,990.77/73,139.54
  6. Step 6: Final answer
    x = 29,747.73

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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.