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Finding the Fourth Proportional to 68,370.60, 102,566.74 and 28,928

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Solution

The fourth proportional to 68,370.60, 102,566.74 and 28,928 is: 43,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,370.60 : 102,566.74 = 28,928 : x
  2. Step 2: Convert to fraction form
    68,370.60/102,566.74 = 28,928/x
  3. Step 3: Cross multiply
    68,370.60x = 102,566.74 × 28,928
  4. Step 4: Simplify right side
    68,370.60x = 2,967,050,654.72
  5. Step 5: Solve for x
    x = 2,967,050,654.72/68,370.60
  6. Step 6: Final answer
    x = 43,396.59

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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.