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Finding the Fourth Proportional to 150,689, 207,957.30 and 83,621

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Solution

The fourth proportional to 150,689, 207,957.30 and 83,621 is: 115,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,689 : 207,957.30 = 83,621 : x
  2. Step 2: Convert to fraction form
    150,689/207,957.30 = 83,621/x
  3. Step 3: Cross multiply
    150,689x = 207,957.30 × 83,621
  4. Step 4: Simplify right side
    150,689x = 17,389,597,383.30
  5. Step 5: Solve for x
    x = 17,389,597,383.30/150,689
  6. Step 6: Final answer
    x = 115,400.58

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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.