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Finding the Fourth Proportional to 213,892.53, 320,611.59 and 80,716.38

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Solution

The fourth proportional to 213,892.53, 320,611.59 and 80,716.38 is: 120,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,892.53 : 320,611.59 = 80,716.38 : x
  2. Step 2: Convert to fraction form
    213,892.53/320,611.59 = 80,716.38/x
  3. Step 3: Cross multiply
    213,892.53x = 320,611.59 × 80,716.38
  4. Step 4: Simplify right side
    213,892.53x = 25,878,606,930.84
  5. Step 5: Solve for x
    x = 25,878,606,930.84/213,892.53
  6. Step 6: Final answer
    x = 120,988.83

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1.5x scale

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.