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Finding the Fourth Proportional to 171,096.63, 256,623.07 and 71,238.21

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Solution

The fourth proportional to 171,096.63, 256,623.07 and 71,238.21 is: 106,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,096.63 : 256,623.07 = 71,238.21 : x
  2. Step 2: Convert to fraction form
    171,096.63/256,623.07 = 71,238.21/x
  3. Step 3: Cross multiply
    171,096.63x = 256,623.07 × 71,238.21
  4. Step 4: Simplify right side
    171,096.63x = 18,281,367,973.41
  5. Step 5: Solve for x
    x = 18,281,367,973.41/171,096.63
  6. Step 6: Final answer
    x = 106,848.21

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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.