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Finding the Fourth Proportional to 150,683, 207,952.26 and 83,615

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Solution

The fourth proportional to 150,683, 207,952.26 and 83,615 is: 115,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,683 : 207,952.26 = 83,615 : x
  2. Step 2: Convert to fraction form
    150,683/207,952.26 = 83,615/x
  3. Step 3: Cross multiply
    150,683x = 207,952.26 × 83,615
  4. Step 4: Simplify right side
    150,683x = 17,387,928,219.90
  5. Step 5: Solve for x
    x = 17,387,928,219.90/150,683
  6. Step 6: Final answer
    x = 115,394.09

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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.