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Finding the Fourth Proportional to 189,111.80, 283,709.75 and 82,513.04

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Solution

The fourth proportional to 189,111.80, 283,709.75 and 82,513.04 is: 123,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,111.80 : 283,709.75 = 82,513.04 : x
  2. Step 2: Convert to fraction form
    189,111.80/283,709.75 = 82,513.04/x
  3. Step 3: Cross multiply
    189,111.80x = 283,709.75 × 82,513.04
  4. Step 4: Simplify right side
    189,111.80x = 23,409,752,119.03
  5. Step 5: Solve for x
    x = 23,409,752,119.03/189,111.80
  6. Step 6: Final answer
    x = 123,787.90

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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.