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Finding the Fourth Proportional to 100,344.32, 150,221.24 and 66,981.64

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Solution

The fourth proportional to 100,344.32, 150,221.24 and 66,981.64 is: 100,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,344.32 : 150,221.24 = 66,981.64 : x
  2. Step 2: Convert to fraction form
    100,344.32/150,221.24 = 66,981.64/x
  3. Step 3: Cross multiply
    100,344.32x = 150,221.24 × 66,981.64
  4. Step 4: Simplify right side
    100,344.32x = 10,062,065,018.03
  5. Step 5: Solve for x
    x = 10,062,065,018.03/100,344.32
  6. Step 6: Final answer
    x = 100,275.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.