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Finding the Fourth Proportional to 208,015.29, 312,069.91 and 65,869.20

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Solution

The fourth proportional to 208,015.29, 312,069.91 and 65,869.20 is: 98,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,015.29 : 312,069.91 = 65,869.20 : x
  2. Step 2: Convert to fraction form
    208,015.29/312,069.91 = 65,869.20/x
  3. Step 3: Cross multiply
    208,015.29x = 312,069.91 × 65,869.20
  4. Step 4: Simplify right side
    208,015.29x = 20,555,795,315.77
  5. Step 5: Solve for x
    x = 20,555,795,315.77/208,015.29
  6. Step 6: Final answer
    x = 98,818.67

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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.