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Finding the Fourth Proportional to 100,415.70, 150,623.82 and 41,209.83

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Solution

The fourth proportional to 100,415.70, 150,623.82 and 41,209.83 is: 61,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,415.70 : 150,623.82 = 41,209.83 : x
  2. Step 2: Convert to fraction form
    100,415.70/150,623.82 = 41,209.83/x
  3. Step 3: Cross multiply
    100,415.70x = 150,623.82 × 41,209.83
  4. Step 4: Simplify right side
    100,415.70x = 6,207,182,016.15
  5. Step 5: Solve for x
    x = 6,207,182,016.15/100,415.70
  6. Step 6: Final answer
    x = 61,814.86

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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.