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Finding the Fourth Proportional to 150,100, 207,149.22 and 85,570.78

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Solution

The fourth proportional to 150,100, 207,149.22 and 85,570.78 is: 118,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,100 : 207,149.22 = 85,570.78 : x
  2. Step 2: Convert to fraction form
    150,100/207,149.22 = 85,570.78/x
  3. Step 3: Cross multiply
    150,100x = 207,149.22 × 85,570.78
  4. Step 4: Simplify right side
    150,100x = 17,725,920,331.79
  5. Step 5: Solve for x
    x = 17,725,920,331.79/150,100
  6. Step 6: Final answer
    x = 118,094.07

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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.