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Finding the Fourth Proportional to 100,638.08, 150,962.16 and 38,313.44

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Solution

The fourth proportional to 100,638.08, 150,962.16 and 38,313.44 is: 57,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,638.08 : 150,962.16 = 38,313.44 : x
  2. Step 2: Convert to fraction form
    100,638.08/150,962.16 = 38,313.44/x
  3. Step 3: Cross multiply
    100,638.08x = 150,962.16 × 38,313.44
  4. Step 4: Simplify right side
    100,638.08x = 5,783,879,659.43
  5. Step 5: Solve for x
    x = 5,783,879,659.43/100,638.08
  6. Step 6: Final answer
    x = 57,472.08

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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.