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Finding the Fourth Proportional to 100,587.67, 150,909.77 and 29,512

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Solution

The fourth proportional to 100,587.67, 150,909.77 and 29,512 is: 44,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,587.67 : 150,909.77 = 29,512 : x
  2. Step 2: Convert to fraction form
    100,587.67/150,909.77 = 29,512/x
  3. Step 3: Cross multiply
    100,587.67x = 150,909.77 × 29,512
  4. Step 4: Simplify right side
    100,587.67x = 4,453,649,132.24
  5. Step 5: Solve for x
    x = 4,453,649,132.24/100,587.67
  6. Step 6: Final answer
    x = 44,276.29

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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.