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Finding the Fourth Proportional to 54,811, 75,639.25 and 29,660.50

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Solution

The fourth proportional to 54,811, 75,639.25 and 29,660.50 is: 40,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,811 : 75,639.25 = 29,660.50 : x
  2. Step 2: Convert to fraction form
    54,811/75,639.25 = 29,660.50/x
  3. Step 3: Cross multiply
    54,811x = 75,639.25 × 29,660.50
  4. Step 4: Simplify right side
    54,811x = 2,243,497,974.63
  5. Step 5: Solve for x
    x = 2,243,497,974.63/54,811
  6. Step 6: Final answer
    x = 40,931.53

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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.