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Finding the Fourth Proportional to 274,739.94, 411,958.50 and 85,147.74

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Solution

The fourth proportional to 274,739.94, 411,958.50 and 85,147.74 is: 127,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,739.94 : 411,958.50 = 85,147.74 : x
  2. Step 2: Convert to fraction form
    274,739.94/411,958.50 = 85,147.74/x
  3. Step 3: Cross multiply
    274,739.94x = 411,958.50 × 85,147.74
  4. Step 4: Simplify right side
    274,739.94x = 35,077,335,248.79
  5. Step 5: Solve for x
    x = 35,077,335,248.79/274,739.94
  6. Step 6: Final answer
    x = 127,674.68

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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.