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Finding the Fourth Proportional to 216,438.28, 324,692.94 and 66,675.28

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Solution

The fourth proportional to 216,438.28, 324,692.94 and 66,675.28 is: 100,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,438.28 : 324,692.94 = 66,675.28 : x
  2. Step 2: Convert to fraction form
    216,438.28/324,692.94 = 66,675.28/x
  3. Step 3: Cross multiply
    216,438.28x = 324,692.94 × 66,675.28
  4. Step 4: Simplify right side
    216,438.28x = 21,648,992,688.52
  5. Step 5: Solve for x
    x = 21,648,992,688.52/216,438.28
  6. Step 6: Final answer
    x = 100,023.86

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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.