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Finding the Fourth Proportional to 56,692.40, 85,040 and 27,113.36

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Solution

The fourth proportional to 56,692.40, 85,040 and 27,113.36 is: 40,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,692.40 : 85,040 = 27,113.36 : x
  2. Step 2: Convert to fraction form
    56,692.40/85,040 = 27,113.36/x
  3. Step 3: Cross multiply
    56,692.40x = 85,040 × 27,113.36
  4. Step 4: Simplify right side
    56,692.40x = 2,305,720,134.40
  5. Step 5: Solve for x
    x = 2,305,720,134.40/56,692.40
  6. Step 6: Final answer
    x = 40,670.71

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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.