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Finding the Fourth Proportional to 159,413.45, 219,987.89 and 87,800.13

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Solution

The fourth proportional to 159,413.45, 219,987.89 and 87,800.13 is: 121,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,413.45 : 219,987.89 = 87,800.13 : x
  2. Step 2: Convert to fraction form
    159,413.45/219,987.89 = 87,800.13/x
  3. Step 3: Cross multiply
    159,413.45x = 219,987.89 × 87,800.13
  4. Step 4: Simplify right side
    159,413.45x = 19,314,965,340.43
  5. Step 5: Solve for x
    x = 19,314,965,340.43/159,413.45
  6. Step 6: Final answer
    x = 121,162.71

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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.