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Finding the Fourth Proportional to 70,281.80, 96,989.60 and 38,450

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Solution

The fourth proportional to 70,281.80, 96,989.60 and 38,450 is: 53,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,281.80 : 96,989.60 = 38,450 : x
  2. Step 2: Convert to fraction form
    70,281.80/96,989.60 = 38,450/x
  3. Step 3: Cross multiply
    70,281.80x = 96,989.60 × 38,450
  4. Step 4: Simplify right side
    70,281.80x = 3,729,250,120
  5. Step 5: Solve for x
    x = 3,729,250,120/70,281.80
  6. Step 6: Final answer
    x = 53,061.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.