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Finding the Fourth Proportional to 84,394.34, 126,619.20 and 34,516.38

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Solution

The fourth proportional to 84,394.34, 126,619.20 and 34,516.38 is: 51,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,394.34 : 126,619.20 = 34,516.38 : x
  2. Step 2: Convert to fraction form
    84,394.34/126,619.20 = 34,516.38/x
  3. Step 3: Cross multiply
    84,394.34x = 126,619.20 × 34,516.38
  4. Step 4: Simplify right side
    84,394.34x = 4,370,436,422.50
  5. Step 5: Solve for x
    x = 4,370,436,422.50/84,394.34
  6. Step 6: Final answer
    x = 51,785.89

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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.