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Finding the Fourth Proportional to 83,744.40, 115,564.86 and 47,933.22

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Solution

The fourth proportional to 83,744.40, 115,564.86 and 47,933.22 is: 66,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,744.40 : 115,564.86 = 47,933.22 : x
  2. Step 2: Convert to fraction form
    83,744.40/115,564.86 = 47,933.22/x
  3. Step 3: Cross multiply
    83,744.40x = 115,564.86 × 47,933.22
  4. Step 4: Simplify right side
    83,744.40x = 5,539,395,858.65
  5. Step 5: Solve for x
    x = 5,539,395,858.65/83,744.40
  6. Step 6: Final answer
    x = 66,146.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.