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Finding the Fourth Proportional to 216,610.80, 324,867.60 and 142,252.80

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Solution

The fourth proportional to 216,610.80, 324,867.60 and 142,252.80 is: 213,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,610.80 : 324,867.60 = 142,252.80 : x
  2. Step 2: Convert to fraction form
    216,610.80/324,867.60 = 142,252.80/x
  3. Step 3: Cross multiply
    216,610.80x = 324,867.60 × 142,252.80
  4. Step 4: Simplify right side
    216,610.80x = 46,213,325,729.28
  5. Step 5: Solve for x
    x = 46,213,325,729.28/216,610.80
  6. Step 6: Final answer
    x = 213,347.28

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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.