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Finding the Fourth Proportional to 150,206.42, 207,270.69 and 89,765.03

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Solution

The fourth proportional to 150,206.42, 207,270.69 and 89,765.03 is: 123,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,206.42 : 207,270.69 = 89,765.03 : x
  2. Step 2: Convert to fraction form
    150,206.42/207,270.69 = 89,765.03/x
  3. Step 3: Cross multiply
    150,206.42x = 207,270.69 × 89,765.03
  4. Step 4: Simplify right side
    150,206.42x = 18,605,659,887.53
  5. Step 5: Solve for x
    x = 18,605,659,887.53/150,206.42
  6. Step 6: Final answer
    x = 123,867.27

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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.