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Finding the Fourth Proportional to 105,692.78, 145,855.26 and 57,945.30

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Solution

The fourth proportional to 105,692.78, 145,855.26 and 57,945.30 is: 79,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,692.78 : 145,855.26 = 57,945.30 : x
  2. Step 2: Convert to fraction form
    105,692.78/145,855.26 = 57,945.30/x
  3. Step 3: Cross multiply
    105,692.78x = 145,855.26 × 57,945.30
  4. Step 4: Simplify right side
    105,692.78x = 8,451,626,797.28
  5. Step 5: Solve for x
    x = 8,451,626,797.28/105,692.78
  6. Step 6: Final answer
    x = 79,964.09

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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.