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Finding the Fourth Proportional to 47,868, 71,804.88 and 15,036

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Solution

The fourth proportional to 47,868, 71,804.88 and 15,036 is: 22,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,868 : 71,804.88 = 15,036 : x
  2. Step 2: Convert to fraction form
    47,868/71,804.88 = 15,036/x
  3. Step 3: Cross multiply
    47,868x = 71,804.88 × 15,036
  4. Step 4: Simplify right side
    47,868x = 1,079,658,175.68
  5. Step 5: Solve for x
    x = 1,079,658,175.68/47,868
  6. Step 6: Final answer
    x = 22,554.90

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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.