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Finding the Fourth Proportional to 127,846.21, 191,738.55 and 39,100.48

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Solution

The fourth proportional to 127,846.21, 191,738.55 and 39,100.48 is: 58,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,846.21 : 191,738.55 = 39,100.48 : x
  2. Step 2: Convert to fraction form
    127,846.21/191,738.55 = 39,100.48/x
  3. Step 3: Cross multiply
    127,846.21x = 191,738.55 × 39,100.48
  4. Step 4: Simplify right side
    127,846.21x = 7,497,069,491.06
  5. Step 5: Solve for x
    x = 7,497,069,491.06/127,846.21
  6. Step 6: Final answer
    x = 58,641.31

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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.