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Finding the Fourth Proportional to 274,039.62, 411,091.02 and 105,520.74

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Solution

The fourth proportional to 274,039.62, 411,091.02 and 105,520.74 is: 158,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,039.62 : 411,091.02 = 105,520.74 : x
  2. Step 2: Convert to fraction form
    274,039.62/411,091.02 = 105,520.74/x
  3. Step 3: Cross multiply
    274,039.62x = 411,091.02 × 105,520.74
  4. Step 4: Simplify right side
    274,039.62x = 43,378,628,637.75
  5. Step 5: Solve for x
    x = 43,378,628,637.75/274,039.62
  6. Step 6: Final answer
    x = 158,293.27

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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.