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Finding the Fourth Proportional to 91,942.40, 137,900.80 and 29,619.20

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Solution

The fourth proportional to 91,942.40, 137,900.80 and 29,619.20 is: 44,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,942.40 : 137,900.80 = 29,619.20 : x
  2. Step 2: Convert to fraction form
    91,942.40/137,900.80 = 29,619.20/x
  3. Step 3: Cross multiply
    91,942.40x = 137,900.80 × 29,619.20
  4. Step 4: Simplify right side
    91,942.40x = 4,084,511,375.36
  5. Step 5: Solve for x
    x = 4,084,511,375.36/91,942.40
  6. Step 6: Final answer
    x = 44,424.68

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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.