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Finding the Fourth Proportional to 139,642.80, 209,233.80 and 118,906.80

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Solution

The fourth proportional to 139,642.80, 209,233.80 and 118,906.80 is: 178,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,642.80 : 209,233.80 = 118,906.80 : x
  2. Step 2: Convert to fraction form
    139,642.80/209,233.80 = 118,906.80/x
  3. Step 3: Cross multiply
    139,642.80x = 209,233.80 × 118,906.80
  4. Step 4: Simplify right side
    139,642.80x = 24,879,321,609.84
  5. Step 5: Solve for x
    x = 24,879,321,609.84/139,642.80
  6. Step 6: Final answer
    x = 178,164.01

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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.