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Finding the Fourth Proportional to 103,645.89, 155,468.84 and 57,194.01

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Solution

The fourth proportional to 103,645.89, 155,468.84 and 57,194.01 is: 85,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,645.89 : 155,468.84 = 57,194.01 : x
  2. Step 2: Convert to fraction form
    103,645.89/155,468.84 = 57,194.01/x
  3. Step 3: Cross multiply
    103,645.89x = 155,468.84 × 57,194.01
  4. Step 4: Simplify right side
    103,645.89x = 8,891,886,103.68
  5. Step 5: Solve for x
    x = 8,891,886,103.68/103,645.89
  6. Step 6: Final answer
    x = 85,791.02

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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.