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Finding the Fourth Proportional to 137,090.72, 188,764.61 and 119,999.31

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Solution

The fourth proportional to 137,090.72, 188,764.61 and 119,999.31 is: 165,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,090.72 : 188,764.61 = 119,999.31 : x
  2. Step 2: Convert to fraction form
    137,090.72/188,764.61 = 119,999.31/x
  3. Step 3: Cross multiply
    137,090.72x = 188,764.61 × 119,999.31
  4. Step 4: Simplify right side
    137,090.72x = 22,651,622,352.42
  5. Step 5: Solve for x
    x = 22,651,622,352.42/137,090.72
  6. Step 6: Final answer
    x = 165,230.90

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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.