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Finding the Fourth Proportional to 142,003.99, 211,843.07 and 138,143.02

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Solution

The fourth proportional to 142,003.99, 211,843.07 and 138,143.02 is: 206,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,003.99 : 211,843.07 = 138,143.02 : x
  2. Step 2: Convert to fraction form
    142,003.99/211,843.07 = 138,143.02/x
  3. Step 3: Cross multiply
    142,003.99x = 211,843.07 × 138,143.02
  4. Step 4: Simplify right side
    142,003.99x = 29,264,640,765.16
  5. Step 5: Solve for x
    x = 29,264,640,765.16/142,003.99
  6. Step 6: Final answer
    x = 206,083.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.