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Finding the Fourth Proportional to 159,413.77, 219,989.22 and 87,792.26

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Solution

The fourth proportional to 159,413.77, 219,989.22 and 87,792.26 is: 121,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,413.77 : 219,989.22 = 87,792.26 : x
  2. Step 2: Convert to fraction form
    159,413.77/219,989.22 = 87,792.26/x
  3. Step 3: Cross multiply
    159,413.77x = 219,989.22 × 87,792.26
  4. Step 4: Simplify right side
    159,413.77x = 19,313,349,370.27
  5. Step 5: Solve for x
    x = 19,313,349,370.27/159,413.77
  6. Step 6: Final answer
    x = 121,152.33

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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.