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Finding the Fourth Proportional to 170,434.56, 255,684.64 and 76,940.32

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Solution

The fourth proportional to 170,434.56, 255,684.64 and 76,940.32 is: 115,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,434.56 : 255,684.64 = 76,940.32 : x
  2. Step 2: Convert to fraction form
    170,434.56/255,684.64 = 76,940.32/x
  3. Step 3: Cross multiply
    170,434.56x = 255,684.64 × 76,940.32
  4. Step 4: Simplify right side
    170,434.56x = 19,672,458,020.68
  5. Step 5: Solve for x
    x = 19,672,458,020.68/170,434.56
  6. Step 6: Final answer
    x = 115,425.29

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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.