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Finding the Fourth Proportional to 150,668, 207,928.32 and 83,600

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Solution

The fourth proportional to 150,668, 207,928.32 and 83,600 is: 115,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,668 : 207,928.32 = 83,600 : x
  2. Step 2: Convert to fraction form
    150,668/207,928.32 = 83,600/x
  3. Step 3: Cross multiply
    150,668x = 207,928.32 × 83,600
  4. Step 4: Simplify right side
    150,668x = 17,382,807,552
  5. Step 5: Solve for x
    x = 17,382,807,552/150,668
  6. Step 6: Final answer
    x = 115,371.60

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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.