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Finding the Fourth Proportional to 53,782.58, 80,679.11 and 19,597.65

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Solution

The fourth proportional to 53,782.58, 80,679.11 and 19,597.65 is: 29,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,782.58 : 80,679.11 = 19,597.65 : x
  2. Step 2: Convert to fraction form
    53,782.58/80,679.11 = 19,597.65/x
  3. Step 3: Cross multiply
    53,782.58x = 80,679.11 × 19,597.65
  4. Step 4: Simplify right side
    53,782.58x = 1,581,120,559.56
  5. Step 5: Solve for x
    x = 1,581,120,559.56/53,782.58
  6. Step 6: Final answer
    x = 29,398.38

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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.