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Finding the Fourth Proportional to 258,899.32, 388,365.72 and 81,413.20

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Solution

The fourth proportional to 258,899.32, 388,365.72 and 81,413.20 is: 122,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,899.32 : 388,365.72 = 81,413.20 : x
  2. Step 2: Convert to fraction form
    258,899.32/388,365.72 = 81,413.20/x
  3. Step 3: Cross multiply
    258,899.32x = 388,365.72 × 81,413.20
  4. Step 4: Simplify right side
    258,899.32x = 31,618,096,035.50
  5. Step 5: Solve for x
    x = 31,618,096,035.50/258,899.32
  6. Step 6: Final answer
    x = 122,125.06

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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.