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Finding the Fourth Proportional to 127,982.60, 192,119.70 and 75,421.70

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Solution

The fourth proportional to 127,982.60, 192,119.70 and 75,421.70 is: 113,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,982.60 : 192,119.70 = 75,421.70 : x
  2. Step 2: Convert to fraction form
    127,982.60/192,119.70 = 75,421.70/x
  3. Step 3: Cross multiply
    127,982.60x = 192,119.70 × 75,421.70
  4. Step 4: Simplify right side
    127,982.60x = 14,489,994,377.49
  5. Step 5: Solve for x
    x = 14,489,994,377.49/127,982.60
  6. Step 6: Final answer
    x = 113,218.47

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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.