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Finding the Fourth Proportional to 70,209.26, 105,328.01 and 25,836.25

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Solution

The fourth proportional to 70,209.26, 105,328.01 and 25,836.25 is: 38,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,209.26 : 105,328.01 = 25,836.25 : x
  2. Step 2: Convert to fraction form
    70,209.26/105,328.01 = 25,836.25/x
  3. Step 3: Cross multiply
    70,209.26x = 105,328.01 × 25,836.25
  4. Step 4: Simplify right side
    70,209.26x = 2,721,280,142.54
  5. Step 5: Solve for x
    x = 2,721,280,142.54/70,209.26
  6. Step 6: Final answer
    x = 38,759.56

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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.