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Finding the Fourth Proportional to 100,417.62, 150,388.92 and 87,198.18

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Solution

The fourth proportional to 100,417.62, 150,388.92 and 87,198.18 is: 130,591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,417.62 : 150,388.92 = 87,198.18 : x
  2. Step 2: Convert to fraction form
    100,417.62/150,388.92 = 87,198.18/x
  3. Step 3: Cross multiply
    100,417.62x = 150,388.92 × 87,198.18
  4. Step 4: Simplify right side
    100,417.62x = 13,113,640,116.17
  5. Step 5: Solve for x
    x = 13,113,640,116.17/100,417.62
  6. Step 6: Final answer
    x = 130,591.03

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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.