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Finding the Fourth Proportional to 150,550, 207,759 and 83,482

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Solution

The fourth proportional to 150,550, 207,759 and 83,482 is: 115,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,550 : 207,759 = 83,482 : x
  2. Step 2: Convert to fraction form
    150,550/207,759 = 83,482/x
  3. Step 3: Cross multiply
    150,550x = 207,759 × 83,482
  4. Step 4: Simplify right side
    150,550x = 17,344,136,838
  5. Step 5: Solve for x
    x = 17,344,136,838/150,550
  6. Step 6: Final answer
    x = 115,205.16

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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.