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Finding the Fourth Proportional to 208,964.20, 313,496.70 and 68,715.40

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Solution

The fourth proportional to 208,964.20, 313,496.70 and 68,715.40 is: 103,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,964.20 : 313,496.70 = 68,715.40 : x
  2. Step 2: Convert to fraction form
    208,964.20/313,496.70 = 68,715.40/x
  3. Step 3: Cross multiply
    208,964.20x = 313,496.70 × 68,715.40
  4. Step 4: Simplify right side
    208,964.20x = 21,542,051,139.18
  5. Step 5: Solve for x
    x = 21,542,051,139.18/208,964.20
  6. Step 6: Final answer
    x = 103,089.67

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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.