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Finding the Fourth Proportional to 54,939.70, 82,409.55 and 19,871.16

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Solution

The fourth proportional to 54,939.70, 82,409.55 and 19,871.16 is: 29,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,939.70 : 82,409.55 = 19,871.16 : x
  2. Step 2: Convert to fraction form
    54,939.70/82,409.55 = 19,871.16/x
  3. Step 3: Cross multiply
    54,939.70x = 82,409.55 × 19,871.16
  4. Step 4: Simplify right side
    54,939.70x = 1,637,573,353.58
  5. Step 5: Solve for x
    x = 1,637,573,353.58/54,939.70
  6. Step 6: Final answer
    x = 29,806.74

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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.