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Finding the Fourth Proportional to 137,706, 190,005 and 81,096.72

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Solution

The fourth proportional to 137,706, 190,005 and 81,096.72 is: 111,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,706 : 190,005 = 81,096.72 : x
  2. Step 2: Convert to fraction form
    137,706/190,005 = 81,096.72/x
  3. Step 3: Cross multiply
    137,706x = 190,005 × 81,096.72
  4. Step 4: Simplify right side
    137,706x = 15,408,782,283.60
  5. Step 5: Solve for x
    x = 15,408,782,283.60/137,706
  6. Step 6: Final answer
    x = 111,896.23

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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.