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Finding the Fourth Proportional to 170,978.75, 256,414.81 and 64,377.54

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Solution

The fourth proportional to 170,978.75, 256,414.81 and 64,377.54 is: 96,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,978.75 : 256,414.81 = 64,377.54 : x
  2. Step 2: Convert to fraction form
    170,978.75/256,414.81 = 64,377.54/x
  3. Step 3: Cross multiply
    170,978.75x = 256,414.81 × 64,377.54
  4. Step 4: Simplify right side
    170,978.75x = 16,507,353,405.29
  5. Step 5: Solve for x
    x = 16,507,353,405.29/170,978.75
  6. Step 6: Final answer
    x = 96,546.23

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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.