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Finding the Fourth Proportional to 150,715, 207,996.42 and 83,647

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Solution

The fourth proportional to 150,715, 207,996.42 and 83,647 is: 115,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,715 : 207,996.42 = 83,647 : x
  2. Step 2: Convert to fraction form
    150,715/207,996.42 = 83,647/x
  3. Step 3: Cross multiply
    150,715x = 207,996.42 × 83,647
  4. Step 4: Simplify right side
    150,715x = 17,398,276,543.74
  5. Step 5: Solve for x
    x = 17,398,276,543.74/150,715
  6. Step 6: Final answer
    x = 115,438.25

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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.