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Finding the Fourth Proportional to 100,218.47, 137,986.75 and 85,079.75

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Solution

The fourth proportional to 100,218.47, 137,986.75 and 85,079.75 is: 117,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,218.47 : 137,986.75 = 85,079.75 : x
  2. Step 2: Convert to fraction form
    100,218.47/137,986.75 = 85,079.75/x
  3. Step 3: Cross multiply
    100,218.47x = 137,986.75 × 85,079.75
  4. Step 4: Simplify right side
    100,218.47x = 11,739,878,193.31
  5. Step 5: Solve for x
    x = 11,739,878,193.31/100,218.47
  6. Step 6: Final answer
    x = 117,142.86

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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.