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Finding the Fourth Proportional to 113,977.80, 171,107.10 and 71,857.80

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Solution

The fourth proportional to 113,977.80, 171,107.10 and 71,857.80 is: 107,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,977.80 : 171,107.10 = 71,857.80 : x
  2. Step 2: Convert to fraction form
    113,977.80/171,107.10 = 71,857.80/x
  3. Step 3: Cross multiply
    113,977.80x = 171,107.10 × 71,857.80
  4. Step 4: Simplify right side
    113,977.80x = 12,295,379,770.38
  5. Step 5: Solve for x
    x = 12,295,379,770.38/113,977.80
  6. Step 6: Final answer
    x = 107,875.22

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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.