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Finding the Fourth Proportional to 100,547.28, 150,845.04 and 30,422.16

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Solution

The fourth proportional to 100,547.28, 150,845.04 and 30,422.16 is: 45,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,547.28 : 150,845.04 = 30,422.16 : x
  2. Step 2: Convert to fraction form
    100,547.28/150,845.04 = 30,422.16/x
  3. Step 3: Cross multiply
    100,547.28x = 150,845.04 × 30,422.16
  4. Step 4: Simplify right side
    100,547.28x = 4,589,031,942.09
  5. Step 5: Solve for x
    x = 4,589,031,942.09/100,547.28
  6. Step 6: Final answer
    x = 45,640.54

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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.