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Finding the Fourth Proportional to 275,427.34, 413,108.20 and 75,768.01

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Solution

The fourth proportional to 275,427.34, 413,108.20 and 75,768.01 is: 113,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,427.34 : 413,108.20 = 75,768.01 : x
  2. Step 2: Convert to fraction form
    275,427.34/413,108.20 = 75,768.01/x
  3. Step 3: Cross multiply
    275,427.34x = 413,108.20 × 75,768.01
  4. Step 4: Simplify right side
    275,427.34x = 31,300,385,290.62
  5. Step 5: Solve for x
    x = 31,300,385,290.62/275,427.34
  6. Step 6: Final answer
    x = 113,642.99

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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.