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Finding the Fourth Proportional to 73,020.42, 100,768.14 and 39,486.42

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Solution

The fourth proportional to 73,020.42, 100,768.14 and 39,486.42 is: 54,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,020.42 : 100,768.14 = 39,486.42 : x
  2. Step 2: Convert to fraction form
    73,020.42/100,768.14 = 39,486.42/x
  3. Step 3: Cross multiply
    73,020.42x = 100,768.14 × 39,486.42
  4. Step 4: Simplify right side
    73,020.42x = 3,978,973,098.66
  5. Step 5: Solve for x
    x = 3,978,973,098.66/73,020.42
  6. Step 6: Final answer
    x = 54,491.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.