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Finding the Fourth Proportional to 171,215.80, 256,823.70 and 164,764.60

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Solution

The fourth proportional to 171,215.80, 256,823.70 and 164,764.60 is: 247,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,215.80 : 256,823.70 = 164,764.60 : x
  2. Step 2: Convert to fraction form
    171,215.80/256,823.70 = 164,764.60/x
  3. Step 3: Cross multiply
    171,215.80x = 256,823.70 × 164,764.60
  4. Step 4: Simplify right side
    171,215.80x = 42,315,454,201.02
  5. Step 5: Solve for x
    x = 42,315,454,201.02/171,215.80
  6. Step 6: Final answer
    x = 247,146.90

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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.