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Finding the Fourth Proportional to 100,217.47, 137,985.37 and 85,078.75

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Solution

The fourth proportional to 100,217.47, 137,985.37 and 85,078.75 is: 117,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,217.47 : 137,985.37 = 85,078.75 : x
  2. Step 2: Convert to fraction form
    100,217.47/137,985.37 = 85,078.75/x
  3. Step 3: Cross multiply
    100,217.47x = 137,985.37 × 85,078.75
  4. Step 4: Simplify right side
    100,217.47x = 11,739,622,797.89
  5. Step 5: Solve for x
    x = 11,739,622,797.89/100,217.47
  6. Step 6: Final answer
    x = 117,141.48

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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.