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Finding the Fourth Proportional to 70,311.96, 105,480.09 and 30,873.06

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Solution

The fourth proportional to 70,311.96, 105,480.09 and 30,873.06 is: 46,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,311.96 : 105,480.09 = 30,873.06 : x
  2. Step 2: Convert to fraction form
    70,311.96/105,480.09 = 30,873.06/x
  3. Step 3: Cross multiply
    70,311.96x = 105,480.09 × 30,873.06
  4. Step 4: Simplify right side
    70,311.96x = 3,256,493,147.38
  5. Step 5: Solve for x
    x = 3,256,493,147.38/70,311.96
  6. Step 6: Final answer
    x = 46,314.92

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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.