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Finding the Fourth Proportional to 75,139.24, 103,692.42 and 41,605.24

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Solution

The fourth proportional to 75,139.24, 103,692.42 and 41,605.24 is: 57,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,139.24 : 103,692.42 = 41,605.24 : x
  2. Step 2: Convert to fraction form
    75,139.24/103,692.42 = 41,605.24/x
  3. Step 3: Cross multiply
    75,139.24x = 103,692.42 × 41,605.24
  4. Step 4: Simplify right side
    75,139.24x = 4,314,148,020.28
  5. Step 5: Solve for x
    x = 4,314,148,020.28/75,139.24
  6. Step 6: Final answer
    x = 57,415.38

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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.