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Finding the Fourth Proportional to 103,692.36, 142,964.46 and 67,825.56

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Solution

The fourth proportional to 103,692.36, 142,964.46 and 67,825.56 is: 93,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,692.36 : 142,964.46 = 67,825.56 : x
  2. Step 2: Convert to fraction form
    103,692.36/142,964.46 = 67,825.56/x
  3. Step 3: Cross multiply
    103,692.36x = 142,964.46 × 67,825.56
  4. Step 4: Simplify right side
    103,692.36x = 9,696,644,559.60
  5. Step 5: Solve for x
    x = 9,696,644,559.60/103,692.36
  6. Step 6: Final answer
    x = 93,513.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.