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Finding the Fourth Proportional to 85,580, 128,388 and 32,270.96

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Solution

The fourth proportional to 85,580, 128,388 and 32,270.96 is: 48,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,580 : 128,388 = 32,270.96 : x
  2. Step 2: Convert to fraction form
    85,580/128,388 = 32,270.96/x
  3. Step 3: Cross multiply
    85,580x = 128,388 × 32,270.96
  4. Step 4: Simplify right side
    85,580x = 4,143,204,012.48
  5. Step 5: Solve for x
    x = 4,143,204,012.48/85,580
  6. Step 6: Final answer
    x = 48,413.23

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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.