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Finding the Fourth Proportional to 100,764.90, 151,113.42 and 50,813.10

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Solution

The fourth proportional to 100,764.90, 151,113.42 and 50,813.10 is: 76,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,764.90 : 151,113.42 = 50,813.10 : x
  2. Step 2: Convert to fraction form
    100,764.90/151,113.42 = 50,813.10/x
  3. Step 3: Cross multiply
    100,764.90x = 151,113.42 × 50,813.10
  4. Step 4: Simplify right side
    100,764.90x = 7,678,541,321.80
  5. Step 5: Solve for x
    x = 7,678,541,321.80/100,764.90
  6. Step 6: Final answer
    x = 76,202.54

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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.