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Finding the Fourth Proportional to 45,782.82, 68,658.12 and 21,764.16

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Solution

The fourth proportional to 45,782.82, 68,658.12 and 21,764.16 is: 32,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,782.82 : 68,658.12 = 21,764.16 : x
  2. Step 2: Convert to fraction form
    45,782.82/68,658.12 = 21,764.16/x
  3. Step 3: Cross multiply
    45,782.82x = 68,658.12 × 21,764.16
  4. Step 4: Simplify right side
    45,782.82x = 1,494,286,308.98
  5. Step 5: Solve for x
    x = 1,494,286,308.98/45,782.82
  6. Step 6: Final answer
    x = 32,638.58

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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.