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Finding the Fourth Proportional to 127,980.60, 192,116.70 and 75,419.70

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Solution

The fourth proportional to 127,980.60, 192,116.70 and 75,419.70 is: 113,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,980.60 : 192,116.70 = 75,419.70 : x
  2. Step 2: Convert to fraction form
    127,980.60/192,116.70 = 75,419.70/x
  3. Step 3: Cross multiply
    127,980.60x = 192,116.70 × 75,419.70
  4. Step 4: Simplify right side
    127,980.60x = 14,489,383,878.99
  5. Step 5: Solve for x
    x = 14,489,383,878.99/127,980.60
  6. Step 6: Final answer
    x = 113,215.47

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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.