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Finding the Fourth Proportional to 120,740, 181,120 and 37,634

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Solution

The fourth proportional to 120,740, 181,120 and 37,634 is: 56,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,740 : 181,120 = 37,634 : x
  2. Step 2: Convert to fraction form
    120,740/181,120 = 37,634/x
  3. Step 3: Cross multiply
    120,740x = 181,120 × 37,634
  4. Step 4: Simplify right side
    120,740x = 6,816,270,080
  5. Step 5: Solve for x
    x = 6,816,270,080/120,740
  6. Step 6: Final answer
    x = 56,454.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.