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Finding the Fourth Proportional to 257,887.62, 386,836.20 and 89,413.44

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Solution

The fourth proportional to 257,887.62, 386,836.20 and 89,413.44 is: 134,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,887.62 : 386,836.20 = 89,413.44 : x
  2. Step 2: Convert to fraction form
    257,887.62/386,836.20 = 89,413.44/x
  3. Step 3: Cross multiply
    257,887.62x = 386,836.20 × 89,413.44
  4. Step 4: Simplify right side
    257,887.62x = 34,588,355,358.53
  5. Step 5: Solve for x
    x = 34,588,355,358.53/257,887.62
  6. Step 6: Final answer
    x = 134,121.81

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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.