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Finding the Fourth Proportional to 233,147.80, 349,721.70 and 66,914.20

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Solution

The fourth proportional to 233,147.80, 349,721.70 and 66,914.20 is: 100,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,147.80 : 349,721.70 = 66,914.20 : x
  2. Step 2: Convert to fraction form
    233,147.80/349,721.70 = 66,914.20/x
  3. Step 3: Cross multiply
    233,147.80x = 349,721.70 × 66,914.20
  4. Step 4: Simplify right side
    233,147.80x = 23,401,347,778.14
  5. Step 5: Solve for x
    x = 23,401,347,778.14/233,147.80
  6. Step 6: Final answer
    x = 100,371.30

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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.