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Finding the Fourth Proportional to 137,012.80, 205,324.80 and 101,194.60

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Solution

The fourth proportional to 137,012.80, 205,324.80 and 101,194.60 is: 151,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,012.80 : 205,324.80 = 101,194.60 : x
  2. Step 2: Convert to fraction form
    137,012.80/205,324.80 = 101,194.60/x
  3. Step 3: Cross multiply
    137,012.80x = 205,324.80 × 101,194.60
  4. Step 4: Simplify right side
    137,012.80x = 20,777,761,006.08
  5. Step 5: Solve for x
    x = 20,777,761,006.08/137,012.80
  6. Step 6: Final answer
    x = 151,648.32

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1.5x scale

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.