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Finding the Fourth Proportional to 150,504, 207,702 and 83,436

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Solution

The fourth proportional to 150,504, 207,702 and 83,436 is: 115,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,504 : 207,702 = 83,436 : x
  2. Step 2: Convert to fraction form
    150,504/207,702 = 83,436/x
  3. Step 3: Cross multiply
    150,504x = 207,702 × 83,436
  4. Step 4: Simplify right side
    150,504x = 17,329,824,072
  5. Step 5: Solve for x
    x = 17,329,824,072/150,504
  6. Step 6: Final answer
    x = 115,145.27

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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.