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Finding the Fourth Proportional to 100,353.74, 150,235.34 and 66,991.06

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Solution

The fourth proportional to 100,353.74, 150,235.34 and 66,991.06 is: 100,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,353.74 : 150,235.34 = 66,991.06 : x
  2. Step 2: Convert to fraction form
    100,353.74/150,235.34 = 66,991.06/x
  3. Step 3: Cross multiply
    100,353.74x = 150,235.34 × 66,991.06
  4. Step 4: Simplify right side
    100,353.74x = 10,064,424,676.06
  5. Step 5: Solve for x
    x = 10,064,424,676.06/100,353.74
  6. Step 6: Final answer
    x = 100,289.48

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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.