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Finding the Fourth Proportional to 200,537.10, 300,708.45 and 111,696.30

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Solution

The fourth proportional to 200,537.10, 300,708.45 and 111,696.30 is: 167,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,537.10 : 300,708.45 = 111,696.30 : x
  2. Step 2: Convert to fraction form
    200,537.10/300,708.45 = 111,696.30/x
  3. Step 3: Cross multiply
    200,537.10x = 300,708.45 × 111,696.30
  4. Step 4: Simplify right side
    200,537.10x = 33,588,021,243.74
  5. Step 5: Solve for x
    x = 33,588,021,243.74/200,537.10
  6. Step 6: Final answer
    x = 167,490.31

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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.