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Finding the Fourth Proportional to 208,558.20, 312,837.30 and 68,321.40

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Solution

The fourth proportional to 208,558.20, 312,837.30 and 68,321.40 is: 102,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,558.20 : 312,837.30 = 68,321.40 : x
  2. Step 2: Convert to fraction form
    208,558.20/312,837.30 = 68,321.40/x
  3. Step 3: Cross multiply
    208,558.20x = 312,837.30 × 68,321.40
  4. Step 4: Simplify right side
    208,558.20x = 21,373,482,308.22
  5. Step 5: Solve for x
    x = 21,373,482,308.22/208,558.20
  6. Step 6: Final answer
    x = 102,482.10

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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.