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Finding the Fourth Proportional to 199,558.74, 299,078.20 and 81,091.58

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Solution

The fourth proportional to 199,558.74, 299,078.20 and 81,091.58 is: 121,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,558.74 : 299,078.20 = 81,091.58 : x
  2. Step 2: Convert to fraction form
    199,558.74/299,078.20 = 81,091.58/x
  3. Step 3: Cross multiply
    199,558.74x = 299,078.20 × 81,091.58
  4. Step 4: Simplify right side
    199,558.74x = 24,252,724,376.39
  5. Step 5: Solve for x
    x = 24,252,724,376.39/199,558.74
  6. Step 6: Final answer
    x = 121,531.76

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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.