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Finding the Fourth Proportional to 171,369.27, 257,106.45 and 76,679.16

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Solution

The fourth proportional to 171,369.27, 257,106.45 and 76,679.16 is: 115,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,369.27 : 257,106.45 = 76,679.16 : x
  2. Step 2: Convert to fraction form
    171,369.27/257,106.45 = 76,679.16/x
  3. Step 3: Cross multiply
    171,369.27x = 257,106.45 × 76,679.16
  4. Step 4: Simplify right side
    171,369.27x = 19,714,705,939.98
  5. Step 5: Solve for x
    x = 19,714,705,939.98/171,369.27
  6. Step 6: Final answer
    x = 115,042.25

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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.