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Finding the Fourth Proportional to 200,945.40, 300,980.70 and 121,921.80

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Solution

The fourth proportional to 200,945.40, 300,980.70 and 121,921.80 is: 182,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,945.40 : 300,980.70 = 121,921.80 : x
  2. Step 2: Convert to fraction form
    200,945.40/300,980.70 = 121,921.80/x
  3. Step 3: Cross multiply
    200,945.40x = 300,980.70 × 121,921.80
  4. Step 4: Simplify right side
    200,945.40x = 36,696,108,709.26
  5. Step 5: Solve for x
    x = 36,696,108,709.26/200,945.40
  6. Step 6: Final answer
    x = 182,617.31

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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.