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Finding the Fourth Proportional to 180,101.97, 270,068.13 and 105,243.75

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Solution

The fourth proportional to 180,101.97, 270,068.13 and 105,243.75 is: 157,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,101.97 : 270,068.13 = 105,243.75 : x
  2. Step 2: Convert to fraction form
    180,101.97/270,068.13 = 105,243.75/x
  3. Step 3: Cross multiply
    180,101.97x = 270,068.13 × 105,243.75
  4. Step 4: Simplify right side
    180,101.97x = 28,422,982,756.69
  5. Step 5: Solve for x
    x = 28,422,982,756.69/180,101.97
  6. Step 6: Final answer
    x = 157,816.06

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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.