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Finding the Fourth Proportional to 213,615.18, 320,440.98 and 55,843.38

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Solution

The fourth proportional to 213,615.18, 320,440.98 and 55,843.38 is: 83,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,615.18 : 320,440.98 = 55,843.38 : x
  2. Step 2: Convert to fraction form
    213,615.18/320,440.98 = 55,843.38/x
  3. Step 3: Cross multiply
    213,615.18x = 320,440.98 × 55,843.38
  4. Step 4: Simplify right side
    213,615.18x = 17,894,507,413.71
  5. Step 5: Solve for x
    x = 17,894,507,413.71/213,615.18
  6. Step 6: Final answer
    x = 83,769.83

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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.