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Finding the Fourth Proportional to 119,578.65, 179,378.30 and 30,831.40

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Solution

The fourth proportional to 119,578.65, 179,378.30 and 30,831.40 is: 46,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,578.65 : 179,378.30 = 30,831.40 : x
  2. Step 2: Convert to fraction form
    119,578.65/179,378.30 = 30,831.40/x
  3. Step 3: Cross multiply
    119,578.65x = 179,378.30 × 30,831.40
  4. Step 4: Simplify right side
    119,578.65x = 5,530,484,118.62
  5. Step 5: Solve for x
    x = 5,530,484,118.62/119,578.65
  6. Step 6: Final answer
    x = 46,249.76

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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.