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Finding the Fourth Proportional to 201,782.31, 302,568.36 and 75,318.54

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Solution

The fourth proportional to 201,782.31, 302,568.36 and 75,318.54 is: 112,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,782.31 : 302,568.36 = 75,318.54 : x
  2. Step 2: Convert to fraction form
    201,782.31/302,568.36 = 75,318.54/x
  3. Step 3: Cross multiply
    201,782.31x = 302,568.36 × 75,318.54
  4. Step 4: Simplify right side
    201,782.31x = 22,789,007,125.39
  5. Step 5: Solve for x
    x = 22,789,007,125.39/201,782.31
  6. Step 6: Final answer
    x = 112,938.58

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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.