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Finding the Fourth Proportional to 199,443.48, 275,109.66 and 135,809.88

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Solution

The fourth proportional to 199,443.48, 275,109.66 and 135,809.88 is: 187,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,443.48 : 275,109.66 = 135,809.88 : x
  2. Step 2: Convert to fraction form
    199,443.48/275,109.66 = 135,809.88/x
  3. Step 3: Cross multiply
    199,443.48x = 275,109.66 × 135,809.88
  4. Step 4: Simplify right side
    199,443.48x = 37,362,609,911.44
  5. Step 5: Solve for x
    x = 37,362,609,911.44/199,443.48
  6. Step 6: Final answer
    x = 187,334.33

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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.