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Finding the Fourth Proportional to 208,120.14, 312,229.41 and 67,878.75

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Solution

The fourth proportional to 208,120.14, 312,229.41 and 67,878.75 is: 101,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,120.14 : 312,229.41 = 67,878.75 : x
  2. Step 2: Convert to fraction form
    208,120.14/312,229.41 = 67,878.75/x
  3. Step 3: Cross multiply
    208,120.14x = 312,229.41 × 67,878.75
  4. Step 4: Simplify right side
    208,120.14x = 21,193,742,064.04
  5. Step 5: Solve for x
    x = 21,193,742,064.04/208,120.14
  6. Step 6: Final answer
    x = 101,834.17

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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.