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Finding the Fourth Proportional to 212,954.40, 319,589.96 and 100,669.03

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Solution

The fourth proportional to 212,954.40, 319,589.96 and 100,669.03 is: 151,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,954.40 : 319,589.96 = 100,669.03 : x
  2. Step 2: Convert to fraction form
    212,954.40/319,589.96 = 100,669.03/x
  3. Step 3: Cross multiply
    212,954.40x = 319,589.96 × 100,669.03
  4. Step 4: Simplify right side
    212,954.40x = 32,172,809,968.62
  5. Step 5: Solve for x
    x = 32,172,809,968.62/212,954.40
  6. Step 6: Final answer
    x = 151,078.40

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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.