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Finding the Fourth Proportional to 150,000, 207,004.32 and 82,936.32

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Solution

The fourth proportional to 150,000, 207,004.32 and 82,936.32 is: 114,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,000 : 207,004.32 = 82,936.32 : x
  2. Step 2: Convert to fraction form
    150,000/207,004.32 = 82,936.32/x
  3. Step 3: Cross multiply
    150,000x = 207,004.32 × 82,936.32
  4. Step 4: Simplify right side
    150,000x = 17,168,176,524.90
  5. Step 5: Solve for x
    x = 17,168,176,524.90/150,000
  6. Step 6: Final answer
    x = 114,454.51

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1.5x scale

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.