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Finding the Fourth Proportional to 189,242.25, 283,863.42 and 76,983.54

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Solution

The fourth proportional to 189,242.25, 283,863.42 and 76,983.54 is: 115,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,242.25 : 283,863.42 = 76,983.54 : x
  2. Step 2: Convert to fraction form
    189,242.25/283,863.42 = 76,983.54/x
  3. Step 3: Cross multiply
    189,242.25x = 283,863.42 × 76,983.54
  4. Step 4: Simplify right side
    189,242.25x = 21,852,810,948.11
  5. Step 5: Solve for x
    x = 21,852,810,948.11/189,242.25
  6. Step 6: Final answer
    x = 115,475.33

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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.