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Finding the Fourth Proportional to 53,087, 79,662.30 and 19,830.44

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Solution

The fourth proportional to 53,087, 79,662.30 and 19,830.44 is: 29,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,087 : 79,662.30 = 19,830.44 : x
  2. Step 2: Convert to fraction form
    53,087/79,662.30 = 19,830.44/x
  3. Step 3: Cross multiply
    53,087x = 79,662.30 × 19,830.44
  4. Step 4: Simplify right side
    53,087x = 1,579,738,211.68
  5. Step 5: Solve for x
    x = 1,579,738,211.68/53,087
  6. Step 6: Final answer
    x = 29,757.53

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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.