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Finding the Fourth Proportional to 171,283.86, 256,778.16 and 82,415.12

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Solution

The fourth proportional to 171,283.86, 256,778.16 and 82,415.12 is: 123,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,283.86 : 256,778.16 = 82,415.12 : x
  2. Step 2: Convert to fraction form
    171,283.86/256,778.16 = 82,415.12/x
  3. Step 3: Cross multiply
    171,283.86x = 256,778.16 × 82,415.12
  4. Step 4: Simplify right side
    171,283.86x = 21,162,401,585.89
  5. Step 5: Solve for x
    x = 21,162,401,585.89/171,283.86
  6. Step 6: Final answer
    x = 123,551.64

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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.