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Finding the Fourth Proportional to 100,193.90, 150,224.16 and 60,122.66

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Solution

The fourth proportional to 100,193.90, 150,224.16 and 60,122.66 is: 90,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,193.90 : 150,224.16 = 60,122.66 : x
  2. Step 2: Convert to fraction form
    100,193.90/150,224.16 = 60,122.66/x
  3. Step 3: Cross multiply
    100,193.90x = 150,224.16 × 60,122.66
  4. Step 4: Simplify right side
    100,193.90x = 9,031,876,095.47
  5. Step 5: Solve for x
    x = 9,031,876,095.47/100,193.90
  6. Step 6: Final answer
    x = 90,143.97

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1.5x scale

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.