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Finding the Fourth Proportional to 68,643.36, 102,987.12 and 31,216.80

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Solution

The fourth proportional to 68,643.36, 102,987.12 and 31,216.80 is: 46,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,643.36 : 102,987.12 = 31,216.80 : x
  2. Step 2: Convert to fraction form
    68,643.36/102,987.12 = 31,216.80/x
  3. Step 3: Cross multiply
    68,643.36x = 102,987.12 × 31,216.80
  4. Step 4: Simplify right side
    68,643.36x = 3,214,928,327.62
  5. Step 5: Solve for x
    x = 3,214,928,327.62/68,643.36
  6. Step 6: Final answer
    x = 46,835.24

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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.