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Finding the Fourth Proportional to 208,699.36, 312,837.72 and 82,428.64

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Solution

The fourth proportional to 208,699.36, 312,837.72 and 82,428.64 is: 123,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,699.36 : 312,837.72 = 82,428.64 : x
  2. Step 2: Convert to fraction form
    208,699.36/312,837.72 = 82,428.64/x
  3. Step 3: Cross multiply
    208,699.36x = 312,837.72 × 82,428.64
  4. Step 4: Simplify right side
    208,699.36x = 25,786,787,800.30
  5. Step 5: Solve for x
    x = 25,786,787,800.30/208,699.36
  6. Step 6: Final answer
    x = 123,559.50

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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.