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Finding the Fourth Proportional to 150,375.69, 207,481.91 and 83,307.69

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Solution

The fourth proportional to 150,375.69, 207,481.91 and 83,307.69 is: 114,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,375.69 : 207,481.91 = 83,307.69 : x
  2. Step 2: Convert to fraction form
    150,375.69/207,481.91 = 83,307.69/x
  3. Step 3: Cross multiply
    150,375.69x = 207,481.91 × 83,307.69
  4. Step 4: Simplify right side
    150,375.69x = 17,284,838,222.35
  5. Step 5: Solve for x
    x = 17,284,838,222.35/150,375.69
  6. Step 6: Final answer
    x = 114,944.37

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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.