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Finding the Fourth Proportional to 57,644.70, 86,479.20 and 18,205.80

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Solution

The fourth proportional to 57,644.70, 86,479.20 and 18,205.80 is: 27,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644.70 : 86,479.20 = 18,205.80 : x
  2. Step 2: Convert to fraction form
    57,644.70/86,479.20 = 18,205.80/x
  3. Step 3: Cross multiply
    57,644.70x = 86,479.20 × 18,205.80
  4. Step 4: Simplify right side
    57,644.70x = 1,574,423,019.36
  5. Step 5: Solve for x
    x = 1,574,423,019.36/57,644.70
  6. Step 6: Final answer
    x = 27,312.54

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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.