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Finding the Fourth Proportional to 203,556.04, 305,521.98 and 146,689

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Solution

The fourth proportional to 203,556.04, 305,521.98 and 146,689 is: 220,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,556.04 : 305,521.98 = 146,689 : x
  2. Step 2: Convert to fraction form
    203,556.04/305,521.98 = 146,689/x
  3. Step 3: Cross multiply
    203,556.04x = 305,521.98 × 146,689
  4. Step 4: Simplify right side
    203,556.04x = 44,816,713,724.22
  5. Step 5: Solve for x
    x = 44,816,713,724.22/203,556.04
  6. Step 6: Final answer
    x = 220,168.92

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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.