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Finding the Fourth Proportional to 140,203.70, 209,936.49 and 83,910.32

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Solution

The fourth proportional to 140,203.70, 209,936.49 and 83,910.32 is: 125,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,203.70 : 209,936.49 = 83,910.32 : x
  2. Step 2: Convert to fraction form
    140,203.70/209,936.49 = 83,910.32/x
  3. Step 3: Cross multiply
    140,203.70x = 209,936.49 × 83,910.32
  4. Step 4: Simplify right side
    140,203.70x = 17,615,838,055.58
  5. Step 5: Solve for x
    x = 17,615,838,055.58/140,203.70
  6. Step 6: Final answer
    x = 125,644.60

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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.