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Finding the Fourth Proportional to 150,268, 207,376.32 and 83,200

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Solution

The fourth proportional to 150,268, 207,376.32 and 83,200 is: 114,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,268 : 207,376.32 = 83,200 : x
  2. Step 2: Convert to fraction form
    150,268/207,376.32 = 83,200/x
  3. Step 3: Cross multiply
    150,268x = 207,376.32 × 83,200
  4. Step 4: Simplify right side
    150,268x = 17,253,709,824
  5. Step 5: Solve for x
    x = 17,253,709,824/150,268
  6. Step 6: Final answer
    x = 114,819.59

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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.