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Finding the Fourth Proportional to 150,168.32, 207,232.64 and 83,100.80

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Solution

The fourth proportional to 150,168.32, 207,232.64 and 83,100.80 is: 114,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,168.32 : 207,232.64 = 83,100.80 : x
  2. Step 2: Convert to fraction form
    150,168.32/207,232.64 = 83,100.80/x
  3. Step 3: Cross multiply
    150,168.32x = 207,232.64 × 83,100.80
  4. Step 4: Simplify right side
    150,168.32x = 17,221,198,170.11
  5. Step 5: Solve for x
    x = 17,221,198,170.11/150,168.32
  6. Step 6: Final answer
    x = 114,679.30

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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.