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Finding the Fourth Proportional to 229,647.83, 344,469.31 and 71,877.65

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Solution

The fourth proportional to 229,647.83, 344,469.31 and 71,877.65 is: 107,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,647.83 : 344,469.31 = 71,877.65 : x
  2. Step 2: Convert to fraction form
    229,647.83/344,469.31 = 71,877.65/x
  3. Step 3: Cross multiply
    229,647.83x = 344,469.31 × 71,877.65
  4. Step 4: Simplify right side
    229,647.83x = 24,759,642,597.88
  5. Step 5: Solve for x
    x = 24,759,642,597.88/229,647.83
  6. Step 6: Final answer
    x = 107,815.71

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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.