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Finding the Fourth Proportional to 200,853.30, 301,474.35 and 122,121.30

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Solution

The fourth proportional to 200,853.30, 301,474.35 and 122,121.30 is: 183,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,853.30 : 301,474.35 = 122,121.30 : x
  2. Step 2: Convert to fraction form
    200,853.30/301,474.35 = 122,121.30/x
  3. Step 3: Cross multiply
    200,853.30x = 301,474.35 × 122,121.30
  4. Step 4: Simplify right side
    200,853.30x = 36,816,439,538.66
  5. Step 5: Solve for x
    x = 36,816,439,538.66/200,853.30
  6. Step 6: Final answer
    x = 183,300.15

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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.