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Finding the Fourth Proportional to 159,042.94, 219,474.82 and 87,413.16

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Solution

The fourth proportional to 159,042.94, 219,474.82 and 87,413.16 is: 120,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,042.94 : 219,474.82 = 87,413.16 : x
  2. Step 2: Convert to fraction form
    159,042.94/219,474.82 = 87,413.16/x
  3. Step 3: Cross multiply
    159,042.94x = 219,474.82 × 87,413.16
  4. Step 4: Simplify right side
    159,042.94x = 19,184,987,556.63
  5. Step 5: Solve for x
    x = 19,184,987,556.63/159,042.94
  6. Step 6: Final answer
    x = 120,627.72

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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.