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Finding the Fourth Proportional to 138,083.48, 206,821.56 and 114,119.48

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Solution

The fourth proportional to 138,083.48, 206,821.56 and 114,119.48 is: 170,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,083.48 : 206,821.56 = 114,119.48 : x
  2. Step 2: Convert to fraction form
    138,083.48/206,821.56 = 114,119.48/x
  3. Step 3: Cross multiply
    138,083.48x = 206,821.56 × 114,119.48
  4. Step 4: Simplify right side
    138,083.48x = 23,602,368,879.99
  5. Step 5: Solve for x
    x = 23,602,368,879.99/138,083.48
  6. Step 6: Final answer
    x = 170,928.26

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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.