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Finding the Fourth Proportional to 100,242.50, 150,305.42 and 37,917.86

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Solution

The fourth proportional to 100,242.50, 150,305.42 and 37,917.86 is: 56,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,242.50 : 150,305.42 = 37,917.86 : x
  2. Step 2: Convert to fraction form
    100,242.50/150,305.42 = 37,917.86/x
  3. Step 3: Cross multiply
    100,242.50x = 150,305.42 × 37,917.86
  4. Step 4: Simplify right side
    100,242.50x = 5,699,259,872.80
  5. Step 5: Solve for x
    x = 5,699,259,872.80/100,242.50
  6. Step 6: Final answer
    x = 56,854.73

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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.