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Finding the Fourth Proportional to 170,735.60, 256,141.80 and 100,578.80

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Solution

The fourth proportional to 170,735.60, 256,141.80 and 100,578.80 is: 150,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,735.60 : 256,141.80 = 100,578.80 : x
  2. Step 2: Convert to fraction form
    170,735.60/256,141.80 = 100,578.80/x
  3. Step 3: Cross multiply
    170,735.60x = 256,141.80 × 100,578.80
  4. Step 4: Simplify right side
    170,735.60x = 25,762,434,873.84
  5. Step 5: Solve for x
    x = 25,762,434,873.84/170,735.60
  6. Step 6: Final answer
    x = 150,890.82

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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.