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Finding the Fourth Proportional to 161,740, 223,198.22 and 90,118.48

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Solution

The fourth proportional to 161,740, 223,198.22 and 90,118.48 is: 124,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,740 : 223,198.22 = 90,118.48 : x
  2. Step 2: Convert to fraction form
    161,740/223,198.22 = 90,118.48/x
  3. Step 3: Cross multiply
    161,740x = 223,198.22 × 90,118.48
  4. Step 4: Simplify right side
    161,740x = 20,114,284,325.11
  5. Step 5: Solve for x
    x = 20,114,284,325.11/161,740
  6. Step 6: Final answer
    x = 124,361.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.