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Finding the Fourth Proportional to 138,907.62, 191,692.55 and 75,245.43

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Solution

The fourth proportional to 138,907.62, 191,692.55 and 75,245.43 is: 103,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,907.62 : 191,692.55 = 75,245.43 : x
  2. Step 2: Convert to fraction form
    138,907.62/191,692.55 = 75,245.43/x
  3. Step 3: Cross multiply
    138,907.62x = 191,692.55 × 75,245.43
  4. Step 4: Simplify right side
    138,907.62x = 14,423,988,352.55
  5. Step 5: Solve for x
    x = 14,423,988,352.55/138,907.62
  6. Step 6: Final answer
    x = 103,838.71

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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.