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Finding the Fourth Proportional to 201,721.79, 302,604.51 and 75,422.54

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Solution

The fourth proportional to 201,721.79, 302,604.51 and 75,422.54 is: 113,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,721.79 : 302,604.51 = 75,422.54 : x
  2. Step 2: Convert to fraction form
    201,721.79/302,604.51 = 75,422.54/x
  3. Step 3: Cross multiply
    201,721.79x = 302,604.51 × 75,422.54
  4. Step 4: Simplify right side
    201,721.79x = 22,823,199,246.63
  5. Step 5: Solve for x
    x = 22,823,199,246.63/201,721.79
  6. Step 6: Final answer
    x = 113,141.97

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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.