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Finding the Fourth Proportional to 200,999.40, 301,061.70 and 121,975.80

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Solution

The fourth proportional to 200,999.40, 301,061.70 and 121,975.80 is: 182,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,999.40 : 301,061.70 = 121,975.80 : x
  2. Step 2: Convert to fraction form
    200,999.40/301,061.70 = 121,975.80/x
  3. Step 3: Cross multiply
    200,999.40x = 301,061.70 × 121,975.80
  4. Step 4: Simplify right side
    200,999.40x = 36,722,241,706.86
  5. Step 5: Solve for x
    x = 36,722,241,706.86/200,999.40
  6. Step 6: Final answer
    x = 182,698.27

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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.