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Finding the Fourth Proportional to 207,695.10, 311,427.45 and 82,895.10

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Solution

The fourth proportional to 207,695.10, 311,427.45 and 82,895.10 is: 124,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,695.10 : 311,427.45 = 82,895.10 : x
  2. Step 2: Convert to fraction form
    207,695.10/311,427.45 = 82,895.10/x
  3. Step 3: Cross multiply
    207,695.10x = 311,427.45 × 82,895.10
  4. Step 4: Simplify right side
    207,695.10x = 25,815,809,610.50
  5. Step 5: Solve for x
    x = 25,815,809,610.50/207,695.10
  6. Step 6: Final answer
    x = 124,296.67

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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.