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Finding the Fourth Proportional to 78,205.87, 117,315.73 and 22,046.48

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Solution

The fourth proportional to 78,205.87, 117,315.73 and 22,046.48 is: 33,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,205.87 : 117,315.73 = 22,046.48 : x
  2. Step 2: Convert to fraction form
    78,205.87/117,315.73 = 22,046.48/x
  3. Step 3: Cross multiply
    78,205.87x = 117,315.73 × 22,046.48
  4. Step 4: Simplify right side
    78,205.87x = 2,586,398,652.03
  5. Step 5: Solve for x
    x = 2,586,398,652.03/78,205.87
  6. Step 6: Final answer
    x = 33,071.67

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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.