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Finding the Fourth Proportional to 102,698, 154,072.96 and 28,826

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Solution

The fourth proportional to 102,698, 154,072.96 and 28,826 is: 43,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,698 : 154,072.96 = 28,826 : x
  2. Step 2: Convert to fraction form
    102,698/154,072.96 = 28,826/x
  3. Step 3: Cross multiply
    102,698x = 154,072.96 × 28,826
  4. Step 4: Simplify right side
    102,698x = 4,441,307,144.96
  5. Step 5: Solve for x
    x = 4,441,307,144.96/102,698
  6. Step 6: Final answer
    x = 43,246.29

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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.