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Finding the Fourth Proportional to 81,604.40, 122,406.60 and 78,148.40

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Solution

The fourth proportional to 81,604.40, 122,406.60 and 78,148.40 is: 117,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,604.40 : 122,406.60 = 78,148.40 : x
  2. Step 2: Convert to fraction form
    81,604.40/122,406.60 = 78,148.40/x
  3. Step 3: Cross multiply
    81,604.40x = 122,406.60 × 78,148.40
  4. Step 4: Simplify right side
    81,604.40x = 9,565,879,939.44
  5. Step 5: Solve for x
    x = 9,565,879,939.44/81,604.40
  6. Step 6: Final answer
    x = 117,222.60

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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.