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Finding the Fourth Proportional to 70,234.24, 105,390.24 and 28,678

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Solution

The fourth proportional to 70,234.24, 105,390.24 and 28,678 is: 43,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,234.24 : 105,390.24 = 28,678 : x
  2. Step 2: Convert to fraction form
    70,234.24/105,390.24 = 28,678/x
  3. Step 3: Cross multiply
    70,234.24x = 105,390.24 × 28,678
  4. Step 4: Simplify right side
    70,234.24x = 3,022,381,302.72
  5. Step 5: Solve for x
    x = 3,022,381,302.72/70,234.24
  6. Step 6: Final answer
    x = 43,032.88

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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.