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Finding the Fourth Proportional to 72,645.09, 108,973.88 and 20,054.58

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Solution

The fourth proportional to 72,645.09, 108,973.88 and 20,054.58 is: 30,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,645.09 : 108,973.88 = 20,054.58 : x
  2. Step 2: Convert to fraction form
    72,645.09/108,973.88 = 20,054.58/x
  3. Step 3: Cross multiply
    72,645.09x = 108,973.88 × 20,054.58
  4. Step 4: Simplify right side
    72,645.09x = 2,185,425,394.37
  5. Step 5: Solve for x
    x = 2,185,425,394.37/72,645.09
  6. Step 6: Final answer
    x = 30,083.59

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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.