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Finding the Fourth Proportional to 136,876.78, 205,315.44 and 43,382.26

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Solution

The fourth proportional to 136,876.78, 205,315.44 and 43,382.26 is: 65,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,876.78 : 205,315.44 = 43,382.26 : x
  2. Step 2: Convert to fraction form
    136,876.78/205,315.44 = 43,382.26/x
  3. Step 3: Cross multiply
    136,876.78x = 205,315.44 × 43,382.26
  4. Step 4: Simplify right side
    136,876.78x = 8,907,047,800.09
  5. Step 5: Solve for x
    x = 8,907,047,800.09/136,876.78
  6. Step 6: Final answer
    x = 65,073.48

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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.