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Finding the Fourth Proportional to 100,433.44, 150,699.60 and 71,040.16

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Solution

The fourth proportional to 100,433.44, 150,699.60 and 71,040.16 is: 106,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,433.44 : 150,699.60 = 71,040.16 : x
  2. Step 2: Convert to fraction form
    100,433.44/150,699.60 = 71,040.16/x
  3. Step 3: Cross multiply
    100,433.44x = 150,699.60 × 71,040.16
  4. Step 4: Simplify right side
    100,433.44x = 10,705,723,695.94
  5. Step 5: Solve for x
    x = 10,705,723,695.94/100,433.44
  6. Step 6: Final answer
    x = 106,595.21

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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.