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Finding the Fourth Proportional to 85,198.70, 117,574.69 and 49,409.94

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Solution

The fourth proportional to 85,198.70, 117,574.69 and 49,409.94 is: 68,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,198.70 : 117,574.69 = 49,409.94 : x
  2. Step 2: Convert to fraction form
    85,198.70/117,574.69 = 49,409.94/x
  3. Step 3: Cross multiply
    85,198.70x = 117,574.69 × 49,409.94
  4. Step 4: Simplify right side
    85,198.70x = 5,809,358,378.42
  5. Step 5: Solve for x
    x = 5,809,358,378.42/85,198.70
  6. Step 6: Final answer
    x = 68,186.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.