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Finding the Fourth Proportional to 54,689.74, 82,035.01 and 19,629.70

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Solution

The fourth proportional to 54,689.74, 82,035.01 and 19,629.70 is: 29,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,689.74 : 82,035.01 = 19,629.70 : x
  2. Step 2: Convert to fraction form
    54,689.74/82,035.01 = 19,629.70/x
  3. Step 3: Cross multiply
    54,689.74x = 82,035.01 × 19,629.70
  4. Step 4: Simplify right side
    54,689.74x = 1,610,322,635.80
  5. Step 5: Solve for x
    x = 1,610,322,635.80/54,689.74
  6. Step 6: Final answer
    x = 29,444.69

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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.