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Finding the Fourth Proportional to 199,991.47, 275,988.25 and 109,347.50

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Solution

The fourth proportional to 199,991.47, 275,988.25 and 109,347.50 is: 150,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,991.47 : 275,988.25 = 109,347.50 : x
  2. Step 2: Convert to fraction form
    199,991.47/275,988.25 = 109,347.50/x
  3. Step 3: Cross multiply
    199,991.47x = 275,988.25 × 109,347.50
  4. Step 4: Simplify right side
    199,991.47x = 30,178,624,441.10
  5. Step 5: Solve for x
    x = 30,178,624,441.10/199,991.47
  6. Step 6: Final answer
    x = 150,899.56

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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.