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Finding the Fourth Proportional to 70,235.31, 105,353.08 and 28,682.31

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Solution

The fourth proportional to 70,235.31, 105,353.08 and 28,682.31 is: 43,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,235.31 : 105,353.08 = 28,682.31 : x
  2. Step 2: Convert to fraction form
    70,235.31/105,353.08 = 28,682.31/x
  3. Step 3: Cross multiply
    70,235.31x = 105,353.08 × 28,682.31
  4. Step 4: Simplify right side
    70,235.31x = 3,021,769,556.60
  5. Step 5: Solve for x
    x = 3,021,769,556.60/70,235.31
  6. Step 6: Final answer
    x = 43,023.51

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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.