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Finding the Fourth Proportional to 43,383.90, 65,112.81 and 30,934.44

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Solution

The fourth proportional to 43,383.90, 65,112.81 and 30,934.44 is: 46,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,383.90 : 65,112.81 = 30,934.44 : x
  2. Step 2: Convert to fraction form
    43,383.90/65,112.81 = 30,934.44/x
  3. Step 3: Cross multiply
    43,383.90x = 65,112.81 × 30,934.44
  4. Step 4: Simplify right side
    43,383.90x = 2,014,228,314.18
  5. Step 5: Solve for x
    x = 2,014,228,314.18/43,383.90
  6. Step 6: Final answer
    x = 46,428.01

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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.