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Finding the Fourth Proportional to 100,739.25, 150,817.05 and 75,883.98

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Solution

The fourth proportional to 100,739.25, 150,817.05 and 75,883.98 is: 113,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,739.25 : 150,817.05 = 75,883.98 : x
  2. Step 2: Convert to fraction form
    100,739.25/150,817.05 = 75,883.98/x
  3. Step 3: Cross multiply
    100,739.25x = 150,817.05 × 75,883.98
  4. Step 4: Simplify right side
    100,739.25x = 11,444,598,005.86
  5. Step 5: Solve for x
    x = 11,444,598,005.86/100,739.25
  6. Step 6: Final answer
    x = 113,606.15

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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.