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Finding the Fourth Proportional to 85,589, 128,352.01 and 29,413.16

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Solution

The fourth proportional to 85,589, 128,352.01 and 29,413.16 is: 44,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,589 : 128,352.01 = 29,413.16 : x
  2. Step 2: Convert to fraction form
    85,589/128,352.01 = 29,413.16/x
  3. Step 3: Cross multiply
    85,589x = 128,352.01 × 29,413.16
  4. Step 4: Simplify right side
    85,589x = 3,775,238,206.45
  5. Step 5: Solve for x
    x = 3,775,238,206.45/85,589
  6. Step 6: Final answer
    x = 44,108.92

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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.