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Finding the Fourth Proportional to 100,218.22, 137,986.41 and 85,079.50

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Solution

The fourth proportional to 100,218.22, 137,986.41 and 85,079.50 is: 117,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,218.22 : 137,986.41 = 85,079.50 : x
  2. Step 2: Convert to fraction form
    100,218.22/137,986.41 = 85,079.50/x
  3. Step 3: Cross multiply
    100,218.22x = 137,986.41 × 85,079.50
  4. Step 4: Simplify right side
    100,218.22x = 11,739,814,769.60
  5. Step 5: Solve for x
    x = 11,739,814,769.60/100,218.22
  6. Step 6: Final answer
    x = 117,142.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.