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Finding the Fourth Proportional to 170,412.60, 255,657.30 and 100,255.80

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Solution

The fourth proportional to 170,412.60, 255,657.30 and 100,255.80 is: 150,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,412.60 : 255,657.30 = 100,255.80 : x
  2. Step 2: Convert to fraction form
    170,412.60/255,657.30 = 100,255.80/x
  3. Step 3: Cross multiply
    170,412.60x = 255,657.30 × 100,255.80
  4. Step 4: Simplify right side
    170,412.60x = 25,631,127,137.34
  5. Step 5: Solve for x
    x = 25,631,127,137.34/170,412.60
  6. Step 6: Final answer
    x = 150,406.29

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1.5x scale

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.