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Finding the Fourth Proportional to 70,435.45, 105,665.48 and 30,991.54

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Solution

The fourth proportional to 70,435.45, 105,665.48 and 30,991.54 is: 46,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,435.45 : 105,665.48 = 30,991.54 : x
  2. Step 2: Convert to fraction form
    70,435.45/105,665.48 = 30,991.54/x
  3. Step 3: Cross multiply
    70,435.45x = 105,665.48 × 30,991.54
  4. Step 4: Simplify right side
    70,435.45x = 3,274,735,530.92
  5. Step 5: Solve for x
    x = 3,274,735,530.92/70,435.45
  6. Step 6: Final answer
    x = 46,492.72

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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.