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Finding the Fourth Proportional to 127,105.84, 190,660.02 and 38,360.08

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Solution

The fourth proportional to 127,105.84, 190,660.02 and 38,360.08 is: 57,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,105.84 : 190,660.02 = 38,360.08 : x
  2. Step 2: Convert to fraction form
    127,105.84/190,660.02 = 38,360.08/x
  3. Step 3: Cross multiply
    127,105.84x = 190,660.02 × 38,360.08
  4. Step 4: Simplify right side
    127,105.84x = 7,313,733,620.00
  5. Step 5: Solve for x
    x = 7,313,733,620.00/127,105.84
  6. Step 6: Final answer
    x = 57,540.50

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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.