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Finding the Fourth Proportional to 181,530, 250,511.40 and 102,042

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Solution

The fourth proportional to 181,530, 250,511.40 and 102,042 is: 140,817.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,530 : 250,511.40 = 102,042 : x
  2. Step 2: Convert to fraction form
    181,530/250,511.40 = 102,042/x
  3. Step 3: Cross multiply
    181,530x = 250,511.40 × 102,042
  4. Step 4: Simplify right side
    181,530x = 25,562,684,278.80
  5. Step 5: Solve for x
    x = 25,562,684,278.80/181,530
  6. Step 6: Final answer
    x = 140,817.96

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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.