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Finding the Fourth Proportional to 150,549, 207,757.62 and 83,481

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Solution

The fourth proportional to 150,549, 207,757.62 and 83,481 is: 115,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,549 : 207,757.62 = 83,481 : x
  2. Step 2: Convert to fraction form
    150,549/207,757.62 = 83,481/x
  3. Step 3: Cross multiply
    150,549x = 207,757.62 × 83,481
  4. Step 4: Simplify right side
    150,549x = 17,343,813,875.22
  5. Step 5: Solve for x
    x = 17,343,813,875.22/150,549
  6. Step 6: Final answer
    x = 115,203.78

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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.