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Finding the Fourth Proportional to 137,906.94, 190,314.46 and 77,481.48

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Solution

The fourth proportional to 137,906.94, 190,314.46 and 77,481.48 is: 106,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,906.94 : 190,314.46 = 77,481.48 : x
  2. Step 2: Convert to fraction form
    137,906.94/190,314.46 = 77,481.48/x
  3. Step 3: Cross multiply
    137,906.94x = 190,314.46 × 77,481.48
  4. Step 4: Simplify right side
    137,906.94x = 14,745,846,026.20
  5. Step 5: Solve for x
    x = 14,745,846,026.20/137,906.94
  6. Step 6: Final answer
    x = 106,926.06

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1.5x scale

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.