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Finding the Fourth Proportional to 216,180, 324,271.44 and 68,436

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Solution

The fourth proportional to 216,180, 324,271.44 and 68,436 is: 102,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,180 : 324,271.44 = 68,436 : x
  2. Step 2: Convert to fraction form
    216,180/324,271.44 = 68,436/x
  3. Step 3: Cross multiply
    216,180x = 324,271.44 × 68,436
  4. Step 4: Simplify right side
    216,180x = 22,191,840,267.84
  5. Step 5: Solve for x
    x = 22,191,840,267.84/216,180
  6. Step 6: Final answer
    x = 102,654.46

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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.