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Finding the Fourth Proportional to 78,300.60, 117,444.66 and 22,138.44

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Solution

The fourth proportional to 78,300.60, 117,444.66 and 22,138.44 is: 33,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,300.60 : 117,444.66 = 22,138.44 : x
  2. Step 2: Convert to fraction form
    78,300.60/117,444.66 = 22,138.44/x
  3. Step 3: Cross multiply
    78,300.60x = 117,444.66 × 22,138.44
  4. Step 4: Simplify right side
    78,300.60x = 2,600,041,558.73
  5. Step 5: Solve for x
    x = 2,600,041,558.73/78,300.60
  6. Step 6: Final answer
    x = 33,205.90

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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.