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Finding the Fourth Proportional to 157,413.92, 217,231.44 and 85,794

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Solution

The fourth proportional to 157,413.92, 217,231.44 and 85,794 is: 118,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,413.92 : 217,231.44 = 85,794 : x
  2. Step 2: Convert to fraction form
    157,413.92/217,231.44 = 85,794/x
  3. Step 3: Cross multiply
    157,413.92x = 217,231.44 × 85,794
  4. Step 4: Simplify right side
    157,413.92x = 18,637,154,163.36
  5. Step 5: Solve for x
    x = 18,637,154,163.36/157,413.92
  6. Step 6: Final answer
    x = 118,395.85

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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.