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Finding the Fourth Proportional to 180,101.96, 270,068.12 and 105,243.74

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Solution

The fourth proportional to 180,101.96, 270,068.12 and 105,243.74 is: 157,816.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,101.96 : 270,068.12 = 105,243.74 : x
  2. Step 2: Convert to fraction form
    180,101.96/270,068.12 = 105,243.74/x
  3. Step 3: Cross multiply
    180,101.96x = 270,068.12 × 105,243.74
  4. Step 4: Simplify right side
    180,101.96x = 28,422,979,003.57
  5. Step 5: Solve for x
    x = 28,422,979,003.57/180,101.96
  6. Step 6: Final answer
    x = 157,816.04

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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.