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Finding the Fourth Proportional to 126,893.94, 190,342.26 and 51,994.86

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Solution

The fourth proportional to 126,893.94, 190,342.26 and 51,994.86 is: 77,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,893.94 : 190,342.26 = 51,994.86 : x
  2. Step 2: Convert to fraction form
    126,893.94/190,342.26 = 51,994.86/x
  3. Step 3: Cross multiply
    126,893.94x = 190,342.26 × 51,994.86
  4. Step 4: Simplify right side
    126,893.94x = 9,896,819,160.78
  5. Step 5: Solve for x
    x = 9,896,819,160.78/126,893.94
  6. Step 6: Final answer
    x = 77,992.84

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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.