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Finding the Fourth Proportional to 271,955.81, 407,936.15 and 111,993.77

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Solution

The fourth proportional to 271,955.81, 407,936.15 and 111,993.77 is: 167,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,955.81 : 407,936.15 = 111,993.77 : x
  2. Step 2: Convert to fraction form
    271,955.81/407,936.15 = 111,993.77/x
  3. Step 3: Cross multiply
    271,955.81x = 407,936.15 × 111,993.77
  4. Step 4: Simplify right side
    271,955.81x = 45,686,307,357.79
  5. Step 5: Solve for x
    x = 45,686,307,357.79/271,955.81
  6. Step 6: Final answer
    x = 167,991.66

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1.5x scale

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.