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Finding the Fourth Proportional to 100,748.25, 150,830.55 and 75,892.98

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Solution

The fourth proportional to 100,748.25, 150,830.55 and 75,892.98 is: 113,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,748.25 : 150,830.55 = 75,892.98 : x
  2. Step 2: Convert to fraction form
    100,748.25/150,830.55 = 75,892.98/x
  3. Step 3: Cross multiply
    100,748.25x = 150,830.55 × 75,892.98
  4. Step 4: Simplify right side
    100,748.25x = 11,446,979,914.54
  5. Step 5: Solve for x
    x = 11,446,979,914.54/100,748.25
  6. Step 6: Final answer
    x = 113,619.64

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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.