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Finding the Fourth Proportional to 202,185.44, 278,959.92 and 130,568.48

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Solution

The fourth proportional to 202,185.44, 278,959.92 and 130,568.48 is: 180,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,185.44 : 278,959.92 = 130,568.48 : x
  2. Step 2: Convert to fraction form
    202,185.44/278,959.92 = 130,568.48/x
  3. Step 3: Cross multiply
    202,185.44x = 278,959.92 × 130,568.48
  4. Step 4: Simplify right side
    202,185.44x = 36,423,372,735.32
  5. Step 5: Solve for x
    x = 36,423,372,735.32/202,185.44
  6. Step 6: Final answer
    x = 180,148.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.