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Finding the Fourth Proportional to 274,074.93, 411,156.72 and 84,490.94

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Solution

The fourth proportional to 274,074.93, 411,156.72 and 84,490.94 is: 126,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,074.93 : 411,156.72 = 84,490.94 : x
  2. Step 2: Convert to fraction form
    274,074.93/411,156.72 = 84,490.94/x
  3. Step 3: Cross multiply
    274,074.93x = 411,156.72 × 84,490.94
  4. Step 4: Simplify right side
    274,074.93x = 34,739,017,760.12
  5. Step 5: Solve for x
    x = 34,739,017,760.12/274,074.93
  6. Step 6: Final answer
    x = 126,750.07

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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.