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Finding the Fourth Proportional to 100,711.90, 150,739.20 and 74,050.82

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Solution

The fourth proportional to 100,711.90, 150,739.20 and 74,050.82 is: 110,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,711.90 : 150,739.20 = 74,050.82 : x
  2. Step 2: Convert to fraction form
    100,711.90/150,739.20 = 74,050.82/x
  3. Step 3: Cross multiply
    100,711.90x = 150,739.20 × 74,050.82
  4. Step 4: Simplify right side
    100,711.90x = 11,162,361,366.14
  5. Step 5: Solve for x
    x = 11,162,361,366.14/100,711.90
  6. Step 6: Final answer
    x = 110,834.58

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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.