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Finding the Fourth Proportional to 52,107.09, 71,909.11 and 31,975.09

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Solution

The fourth proportional to 52,107.09, 71,909.11 and 31,975.09 is: 44,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.09 : 71,909.11 = 31,975.09 : x
  2. Step 2: Convert to fraction form
    52,107.09/71,909.11 = 31,975.09/x
  3. Step 3: Cross multiply
    52,107.09x = 71,909.11 × 31,975.09
  4. Step 4: Simplify right side
    52,107.09x = 2,299,300,124.27
  5. Step 5: Solve for x
    x = 2,299,300,124.27/52,107.09
  6. Step 6: Final answer
    x = 44,126.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.