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Finding the Fourth Proportional to 275,014.86, 412,522.65 and 75,337

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Solution

The fourth proportional to 275,014.86, 412,522.65 and 75,337 is: 113,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,014.86 : 412,522.65 = 75,337 : x
  2. Step 2: Convert to fraction form
    275,014.86/412,522.65 = 75,337/x
  3. Step 3: Cross multiply
    275,014.86x = 412,522.65 × 75,337
  4. Step 4: Simplify right side
    275,014.86x = 31,078,218,506.37
  5. Step 5: Solve for x
    x = 31,078,218,506.37/275,014.86
  6. Step 6: Final answer
    x = 113,005.60

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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.