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Finding the Fourth Proportional to 213,213.42, 293,963.34 and 150,990

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Solution

The fourth proportional to 213,213.42, 293,963.34 and 150,990 is: 208,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,213.42 : 293,963.34 = 150,990 : x
  2. Step 2: Convert to fraction form
    213,213.42/293,963.34 = 150,990/x
  3. Step 3: Cross multiply
    213,213.42x = 293,963.34 × 150,990
  4. Step 4: Simplify right side
    213,213.42x = 44,385,524,706.60
  5. Step 5: Solve for x
    x = 44,385,524,706.60/213,213.42
  6. Step 6: Final answer
    x = 208,174.16

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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.