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Finding the Fourth Proportional to 143,537.33, 198,116.67 and 111,208

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Solution

The fourth proportional to 143,537.33, 198,116.67 and 111,208 is: 153,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,537.33 : 198,116.67 = 111,208 : x
  2. Step 2: Convert to fraction form
    143,537.33/198,116.67 = 111,208/x
  3. Step 3: Cross multiply
    143,537.33x = 198,116.67 × 111,208
  4. Step 4: Simplify right side
    143,537.33x = 22,032,158,637.36
  5. Step 5: Solve for x
    x = 22,032,158,637.36/143,537.33
  6. Step 6: Final answer
    x = 153,494.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.