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Finding the Fourth Proportional to 103,231.42, 154,742.57 and 69,954.86

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Solution

The fourth proportional to 103,231.42, 154,742.57 and 69,954.86 is: 104,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,231.42 : 154,742.57 = 69,954.86 : x
  2. Step 2: Convert to fraction form
    103,231.42/154,742.57 = 69,954.86/x
  3. Step 3: Cross multiply
    103,231.42x = 154,742.57 × 69,954.86
  4. Step 4: Simplify right side
    103,231.42x = 10,824,995,119.80
  5. Step 5: Solve for x
    x = 10,824,995,119.80/103,231.42
  6. Step 6: Final answer
    x = 104,861.44

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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.