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Finding the Fourth Proportional to 170,478.42, 255,662.30 and 80,507.22

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Solution

The fourth proportional to 170,478.42, 255,662.30 and 80,507.22 is: 120,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,478.42 : 255,662.30 = 80,507.22 : x
  2. Step 2: Convert to fraction form
    170,478.42/255,662.30 = 80,507.22/x
  3. Step 3: Cross multiply
    170,478.42x = 255,662.30 × 80,507.22
  4. Step 4: Simplify right side
    170,478.42x = 20,582,661,031.81
  5. Step 5: Solve for x
    x = 20,582,661,031.81/170,478.42
  6. Step 6: Final answer
    x = 120,734.70

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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.