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Finding the Fourth Proportional to 207,554.94, 311,458.41 and 82,885.50

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Solution

The fourth proportional to 207,554.94, 311,458.41 and 82,885.50 is: 124,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,554.94 : 311,458.41 = 82,885.50 : x
  2. Step 2: Convert to fraction form
    207,554.94/311,458.41 = 82,885.50/x
  3. Step 3: Cross multiply
    207,554.94x = 311,458.41 × 82,885.50
  4. Step 4: Simplify right side
    207,554.94x = 25,815,386,042.06
  5. Step 5: Solve for x
    x = 25,815,386,042.06/207,554.94
  6. Step 6: Final answer
    x = 124,378.57

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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.