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Finding the Fourth Proportional to 78,433.70, 117,650.30 and 22,273.88

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Solution

The fourth proportional to 78,433.70, 117,650.30 and 22,273.88 is: 33,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,433.70 : 117,650.30 = 22,273.88 : x
  2. Step 2: Convert to fraction form
    78,433.70/117,650.30 = 22,273.88/x
  3. Step 3: Cross multiply
    78,433.70x = 117,650.30 × 22,273.88
  4. Step 4: Simplify right side
    78,433.70x = 2,620,528,664.16
  5. Step 5: Solve for x
    x = 2,620,528,664.16/78,433.70
  6. Step 6: Final answer
    x = 33,410.75

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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.