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Finding the Fourth Proportional to 205,315.56, 307,982.07 and 65,071.08

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Solution

The fourth proportional to 205,315.56, 307,982.07 and 65,071.08 is: 97,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,315.56 : 307,982.07 = 65,071.08 : x
  2. Step 2: Convert to fraction form
    205,315.56/307,982.07 = 65,071.08/x
  3. Step 3: Cross multiply
    205,315.56x = 307,982.07 × 65,071.08
  4. Step 4: Simplify right side
    205,315.56x = 20,040,725,915.54
  5. Step 5: Solve for x
    x = 20,040,725,915.54/205,315.56
  6. Step 6: Final answer
    x = 97,609.39

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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.