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Finding the Fourth Proportional to 45,267, 67,902.34 and 21,562.36

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Solution

The fourth proportional to 45,267, 67,902.34 and 21,562.36 is: 32,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,267 : 67,902.34 = 21,562.36 : x
  2. Step 2: Convert to fraction form
    45,267/67,902.34 = 21,562.36/x
  3. Step 3: Cross multiply
    45,267x = 67,902.34 × 21,562.36
  4. Step 4: Simplify right side
    45,267x = 1,464,134,699.92
  5. Step 5: Solve for x
    x = 1,464,134,699.92/45,267
  6. Step 6: Final answer
    x = 32,344.42

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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.