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Finding the Fourth Proportional to 100,741.25, 150,820.05 and 75,885.98

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Solution

The fourth proportional to 100,741.25, 150,820.05 and 75,885.98 is: 113,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,741.25 : 150,820.05 = 75,885.98 : x
  2. Step 2: Convert to fraction form
    100,741.25/150,820.05 = 75,885.98/x
  3. Step 3: Cross multiply
    100,741.25x = 150,820.05 × 75,885.98
  4. Step 4: Simplify right side
    100,741.25x = 11,445,127,297.90
  5. Step 5: Solve for x
    x = 11,445,127,297.90/100,741.25
  6. Step 6: Final answer
    x = 113,609.15

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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.