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Finding the Fourth Proportional to 103,189.46, 154,784.21 and 68,120.91

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Solution

The fourth proportional to 103,189.46, 154,784.21 and 68,120.91 is: 102,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,189.46 : 154,784.21 = 68,120.91 : x
  2. Step 2: Convert to fraction form
    103,189.46/154,784.21 = 68,120.91/x
  3. Step 3: Cross multiply
    103,189.46x = 154,784.21 × 68,120.91
  4. Step 4: Simplify right side
    103,189.46x = 10,544,040,898.23
  5. Step 5: Solve for x
    x = 10,544,040,898.23/103,189.46
  6. Step 6: Final answer
    x = 102,181.38

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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.