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Finding the Fourth Proportional to 170,742.80, 256,308.60 and 100,661.60

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Solution

The fourth proportional to 170,742.80, 256,308.60 and 100,661.60 is: 151,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,742.80 : 256,308.60 = 100,661.60 : x
  2. Step 2: Convert to fraction form
    170,742.80/256,308.60 = 100,661.60/x
  3. Step 3: Cross multiply
    170,742.80x = 256,308.60 × 100,661.60
  4. Step 4: Simplify right side
    170,742.80x = 25,800,433,769.76
  5. Step 5: Solve for x
    x = 25,800,433,769.76/170,742.80
  6. Step 6: Final answer
    x = 151,107.01

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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.