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Finding the Fourth Proportional to 137,879.37, 190,266.22 and 77,452.56

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Solution

The fourth proportional to 137,879.37, 190,266.22 and 77,452.56 is: 106,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,879.37 : 190,266.22 = 77,452.56 : x
  2. Step 2: Convert to fraction form
    137,879.37/190,266.22 = 77,452.56/x
  3. Step 3: Cross multiply
    137,879.37x = 190,266.22 × 77,452.56
  4. Step 4: Simplify right side
    137,879.37x = 14,736,605,820.52
  5. Step 5: Solve for x
    x = 14,736,605,820.52/137,879.37
  6. Step 6: Final answer
    x = 106,880.43

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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.