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Finding the Fourth Proportional to 68,212.60, 102,271.28 and 30,241.28

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Solution

The fourth proportional to 68,212.60, 102,271.28 and 30,241.28 is: 45,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,212.60 : 102,271.28 = 30,241.28 : x
  2. Step 2: Convert to fraction form
    68,212.60/102,271.28 = 30,241.28/x
  3. Step 3: Cross multiply
    68,212.60x = 102,271.28 × 30,241.28
  4. Step 4: Simplify right side
    68,212.60x = 3,092,814,518.91
  5. Step 5: Solve for x
    x = 3,092,814,518.91/68,212.60
  6. Step 6: Final answer
    x = 45,340.81

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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.