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Finding the Fourth Proportional to 140,791.88, 194,292.80 and 84,203.25

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Solution

The fourth proportional to 140,791.88, 194,292.80 and 84,203.25 is: 116,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,791.88 : 194,292.80 = 84,203.25 : x
  2. Step 2: Convert to fraction form
    140,791.88/194,292.80 = 84,203.25/x
  3. Step 3: Cross multiply
    140,791.88x = 194,292.80 × 84,203.25
  4. Step 4: Simplify right side
    140,791.88x = 16,360,084,790.58
  5. Step 5: Solve for x
    x = 16,360,084,790.58/140,791.88
  6. Step 6: Final answer
    x = 116,200.49

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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.