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Finding the Fourth Proportional to 208,311.84, 312,483.96 and 68,084.64

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Solution

The fourth proportional to 208,311.84, 312,483.96 and 68,084.64 is: 102,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,311.84 : 312,483.96 = 68,084.64 : x
  2. Step 2: Convert to fraction form
    208,311.84/312,483.96 = 68,084.64/x
  3. Step 3: Cross multiply
    208,311.84x = 312,483.96 × 68,084.64
  4. Step 4: Simplify right side
    208,311.84x = 21,275,357,922.37
  5. Step 5: Solve for x
    x = 21,275,357,922.37/208,311.84
  6. Step 6: Final answer
    x = 102,132.25

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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.