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Finding the Fourth Proportional to 208,083.12, 311,993.08 and 114,654.48

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Solution

The fourth proportional to 208,083.12, 311,993.08 and 114,654.48 is: 171,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,083.12 : 311,993.08 = 114,654.48 : x
  2. Step 2: Convert to fraction form
    208,083.12/311,993.08 = 114,654.48/x
  3. Step 3: Cross multiply
    208,083.12x = 311,993.08 × 114,654.48
  4. Step 4: Simplify right side
    208,083.12x = 35,771,404,351.00
  5. Step 5: Solve for x
    x = 35,771,404,351.00/208,083.12
  6. Step 6: Final answer
    x = 171,909.21

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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.