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Finding the Fourth Proportional to 208,332.54, 312,537.69 and 68,189.58

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Solution

The fourth proportional to 208,332.54, 312,537.69 and 68,189.58 is: 102,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,332.54 : 312,537.69 = 68,189.58 : x
  2. Step 2: Convert to fraction form
    208,332.54/312,537.69 = 68,189.58/x
  3. Step 3: Cross multiply
    208,332.54x = 312,537.69 × 68,189.58
  4. Step 4: Simplify right side
    208,332.54x = 21,311,813,815.27
  5. Step 5: Solve for x
    x = 21,311,813,815.27/208,332.54
  6. Step 6: Final answer
    x = 102,297.10

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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.