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Finding the Fourth Proportional to 140,648.70, 193,893.50 and 100,292.48

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Solution

The fourth proportional to 140,648.70, 193,893.50 and 100,292.48 is: 138,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,648.70 : 193,893.50 = 100,292.48 : x
  2. Step 2: Convert to fraction form
    140,648.70/193,893.50 = 100,292.48/x
  3. Step 3: Cross multiply
    140,648.70x = 193,893.50 × 100,292.48
  4. Step 4: Simplify right side
    140,648.70x = 19,446,059,415.10
  5. Step 5: Solve for x
    x = 19,446,059,415.10/140,648.70
  6. Step 6: Final answer
    x = 138,259.78

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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.