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Finding the Fourth Proportional to 73,169, 100,973.25 and 39,635

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Solution

The fourth proportional to 73,169, 100,973.25 and 39,635 is: 54,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,169 : 100,973.25 = 39,635 : x
  2. Step 2: Convert to fraction form
    73,169/100,973.25 = 39,635/x
  3. Step 3: Cross multiply
    73,169x = 100,973.25 × 39,635
  4. Step 4: Simplify right side
    73,169x = 4,002,074,763.75
  5. Step 5: Solve for x
    x = 4,002,074,763.75/73,169
  6. Step 6: Final answer
    x = 54,696.32

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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.