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Finding the Fourth Proportional to 70,168.10, 105,181.22 and 30,213.14

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Solution

The fourth proportional to 70,168.10, 105,181.22 and 30,213.14 is: 45,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,168.10 : 105,181.22 = 30,213.14 : x
  2. Step 2: Convert to fraction form
    70,168.10/105,181.22 = 30,213.14/x
  3. Step 3: Cross multiply
    70,168.10x = 105,181.22 × 30,213.14
  4. Step 4: Simplify right side
    70,168.10x = 3,177,854,474.86
  5. Step 5: Solve for x
    x = 3,177,854,474.86/70,168.10
  6. Step 6: Final answer
    x = 45,289.17

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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.