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Finding the Fourth Proportional to 69,782.96, 104,658.60 and 19,862

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Solution

The fourth proportional to 69,782.96, 104,658.60 and 19,862 is: 29,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,782.96 : 104,658.60 = 19,862 : x
  2. Step 2: Convert to fraction form
    69,782.96/104,658.60 = 19,862/x
  3. Step 3: Cross multiply
    69,782.96x = 104,658.60 × 19,862
  4. Step 4: Simplify right side
    69,782.96x = 2,078,729,113.20
  5. Step 5: Solve for x
    x = 2,078,729,113.20/69,782.96
  6. Step 6: Final answer
    x = 29,788.49

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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.