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Finding the Fourth Proportional to 70,774.40, 106,128.79 and 26,389.23

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Solution

The fourth proportional to 70,774.40, 106,128.79 and 26,389.23 is: 39,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,774.40 : 106,128.79 = 26,389.23 : x
  2. Step 2: Convert to fraction form
    70,774.40/106,128.79 = 26,389.23/x
  3. Step 3: Cross multiply
    70,774.40x = 106,128.79 × 26,389.23
  4. Step 4: Simplify right side
    70,774.40x = 2,800,657,144.44
  5. Step 5: Solve for x
    x = 2,800,657,144.44/70,774.40
  6. Step 6: Final answer
    x = 39,571.61

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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.