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Finding the Fourth Proportional to 119,311.54, 178,963.19 and 30,565.91

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Solution

The fourth proportional to 119,311.54, 178,963.19 and 30,565.91 is: 45,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,311.54 : 178,963.19 = 30,565.91 : x
  2. Step 2: Convert to fraction form
    119,311.54/178,963.19 = 30,565.91/x
  3. Step 3: Cross multiply
    119,311.54x = 178,963.19 × 30,565.91
  4. Step 4: Simplify right side
    119,311.54x = 5,470,173,168.05
  5. Step 5: Solve for x
    x = 5,470,173,168.05/119,311.54
  6. Step 6: Final answer
    x = 45,847.81

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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.