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Finding the Fourth Proportional to 203,488.90, 305,233.35 and 164,122.90

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Solution

The fourth proportional to 203,488.90, 305,233.35 and 164,122.90 is: 246,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.90 : 305,233.35 = 164,122.90 : x
  2. Step 2: Convert to fraction form
    203,488.90/305,233.35 = 164,122.90/x
  3. Step 3: Cross multiply
    203,488.90x = 305,233.35 × 164,122.90
  4. Step 4: Simplify right side
    203,488.90x = 50,095,782,578.72
  5. Step 5: Solve for x
    x = 50,095,782,578.72/203,488.90
  6. Step 6: Final answer
    x = 246,184.35

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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.