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Finding the Fourth Proportional to 75,138.30, 103,690.85 and 41,604.30

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Solution

The fourth proportional to 75,138.30, 103,690.85 and 41,604.30 is: 57,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138.30 : 103,690.85 = 41,604.30 : x
  2. Step 2: Convert to fraction form
    75,138.30/103,690.85 = 41,604.30/x
  3. Step 3: Cross multiply
    75,138.30x = 103,690.85 × 41,604.30
  4. Step 4: Simplify right side
    75,138.30x = 4,313,985,230.66
  5. Step 5: Solve for x
    x = 4,313,985,230.66/75,138.30
  6. Step 6: Final answer
    x = 57,413.93

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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.