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Finding the Fourth Proportional to 137,851.80, 206,899.20 and 81,621.60

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Solution

The fourth proportional to 137,851.80, 206,899.20 and 81,621.60 is: 122,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.80 : 206,899.20 = 81,621.60 : x
  2. Step 2: Convert to fraction form
    137,851.80/206,899.20 = 81,621.60/x
  3. Step 3: Cross multiply
    137,851.80x = 206,899.20 × 81,621.60
  4. Step 4: Simplify right side
    137,851.80x = 16,887,443,742.72
  5. Step 5: Solve for x
    x = 16,887,443,742.72/137,851.80
  6. Step 6: Final answer
    x = 122,504.34

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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.