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Finding the Fourth Proportional to 43,114.40, 64,745.40 and 23,431.40

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Solution

The fourth proportional to 43,114.40, 64,745.40 and 23,431.40 is: 35,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,114.40 : 64,745.40 = 23,431.40 : x
  2. Step 2: Convert to fraction form
    43,114.40/64,745.40 = 23,431.40/x
  3. Step 3: Cross multiply
    43,114.40x = 64,745.40 × 23,431.40
  4. Step 4: Simplify right side
    43,114.40x = 1,517,075,365.56
  5. Step 5: Solve for x
    x = 1,517,075,365.56/43,114.40
  6. Step 6: Final answer
    x = 35,187.21

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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.