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Finding the Fourth Proportional to 208,968.32, 313,505.52 and 96,729.44

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Solution

The fourth proportional to 208,968.32, 313,505.52 and 96,729.44 is: 145,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,968.32 : 313,505.52 = 96,729.44 : x
  2. Step 2: Convert to fraction form
    208,968.32/313,505.52 = 96,729.44/x
  3. Step 3: Cross multiply
    208,968.32x = 313,505.52 × 96,729.44
  4. Step 4: Simplify right side
    208,968.32x = 30,325,213,386.51
  5. Step 5: Solve for x
    x = 30,325,213,386.51/208,968.32
  6. Step 6: Final answer
    x = 145,118.71

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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.