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Finding the Fourth Proportional to 36,610, 50,385.60 and 30,185.20

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Solution

The fourth proportional to 36,610, 50,385.60 and 30,185.20 is: 41,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,610 : 50,385.60 = 30,185.20 : x
  2. Step 2: Convert to fraction form
    36,610/50,385.60 = 30,185.20/x
  3. Step 3: Cross multiply
    36,610x = 50,385.60 × 30,185.20
  4. Step 4: Simplify right side
    36,610x = 1,520,899,413.12
  5. Step 5: Solve for x
    x = 1,520,899,413.12/36,610
  6. Step 6: Final answer
    x = 41,543.28

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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.