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Finding the Fourth Proportional to 57,872.40, 86,813.40 and 18,428.40

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Solution

The fourth proportional to 57,872.40, 86,813.40 and 18,428.40 is: 27,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,872.40 : 86,813.40 = 18,428.40 : x
  2. Step 2: Convert to fraction form
    57,872.40/86,813.40 = 18,428.40/x
  3. Step 3: Cross multiply
    57,872.40x = 86,813.40 × 18,428.40
  4. Step 4: Simplify right side
    57,872.40x = 1,599,832,060.56
  5. Step 5: Solve for x
    x = 1,599,832,060.56/57,872.40
  6. Step 6: Final answer
    x = 27,644.13

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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.