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Finding the Fourth Proportional to 140,383.63, 210,721.25 and 81,334.63

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Solution

The fourth proportional to 140,383.63, 210,721.25 and 81,334.63 is: 122,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,383.63 : 210,721.25 = 81,334.63 : x
  2. Step 2: Convert to fraction form
    140,383.63/210,721.25 = 81,334.63/x
  3. Step 3: Cross multiply
    140,383.63x = 210,721.25 × 81,334.63
  4. Step 4: Simplify right side
    140,383.63x = 17,138,934,901.89
  5. Step 5: Solve for x
    x = 17,138,934,901.89/140,383.63
  6. Step 6: Final answer
    x = 122,086.42

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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.