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Finding the Fourth Proportional to 150,099, 207,147.84 and 85,569.78

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Solution

The fourth proportional to 150,099, 207,147.84 and 85,569.78 is: 118,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,099 : 207,147.84 = 85,569.78 : x
  2. Step 2: Convert to fraction form
    150,099/207,147.84 = 85,569.78/x
  3. Step 3: Cross multiply
    150,099x = 207,147.84 × 85,569.78
  4. Step 4: Simplify right side
    150,099x = 17,725,595,096.28
  5. Step 5: Solve for x
    x = 17,725,595,096.28/150,099
  6. Step 6: Final answer
    x = 118,092.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.