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Finding the Fourth Proportional to 76,804.66, 105,986.37 and 43,268.50

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Solution

The fourth proportional to 76,804.66, 105,986.37 and 43,268.50 is: 59,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,804.66 : 105,986.37 = 43,268.50 : x
  2. Step 2: Convert to fraction form
    76,804.66/105,986.37 = 43,268.50/x
  3. Step 3: Cross multiply
    76,804.66x = 105,986.37 × 43,268.50
  4. Step 4: Simplify right side
    76,804.66x = 4,585,871,250.35
  5. Step 5: Solve for x
    x = 4,585,871,250.35/76,804.66
  6. Step 6: Final answer
    x = 59,708.24

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Why These Related Problems?

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