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Finding the Fourth Proportional to 54,907.70, 82,365.60 and 19,842.80

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Solution

The fourth proportional to 54,907.70, 82,365.60 and 19,842.80 is: 29,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,907.70 : 82,365.60 = 19,842.80 : x
  2. Step 2: Convert to fraction form
    54,907.70/82,365.60 = 19,842.80/x
  3. Step 3: Cross multiply
    54,907.70x = 82,365.60 × 19,842.80
  4. Step 4: Simplify right side
    54,907.70x = 1,634,364,127.68
  5. Step 5: Solve for x
    x = 1,634,364,127.68/54,907.70
  6. Step 6: Final answer
    x = 29,765.66

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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.