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Finding the Fourth Proportional to 137,745.80, 206,740.20 and 81,515.60

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Solution

The fourth proportional to 137,745.80, 206,740.20 and 81,515.60 is: 122,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,745.80 : 206,740.20 = 81,515.60 : x
  2. Step 2: Convert to fraction form
    137,745.80/206,740.20 = 81,515.60/x
  3. Step 3: Cross multiply
    137,745.80x = 206,740.20 × 81,515.60
  4. Step 4: Simplify right side
    137,745.80x = 16,852,551,447.12
  5. Step 5: Solve for x
    x = 16,852,551,447.12/137,745.80
  6. Step 6: Final answer
    x = 122,345.30

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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.