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Finding the Fourth Proportional to 114,857.80, 172,286.70 and 102,173.20

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Solution

The fourth proportional to 114,857.80, 172,286.70 and 102,173.20 is: 153,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,857.80 : 172,286.70 = 102,173.20 : x
  2. Step 2: Convert to fraction form
    114,857.80/172,286.70 = 102,173.20/x
  3. Step 3: Cross multiply
    114,857.80x = 172,286.70 × 102,173.20
  4. Step 4: Simplify right side
    114,857.80x = 17,603,083,456.44
  5. Step 5: Solve for x
    x = 17,603,083,456.44/114,857.80
  6. Step 6: Final answer
    x = 153,259.80

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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.