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Finding the Fourth Proportional to 262,692.56, 394,159.80 and 112,978.64

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Solution

The fourth proportional to 262,692.56, 394,159.80 and 112,978.64 is: 169,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,692.56 : 394,159.80 = 112,978.64 : x
  2. Step 2: Convert to fraction form
    262,692.56/394,159.80 = 112,978.64/x
  3. Step 3: Cross multiply
    262,692.56x = 394,159.80 × 112,978.64
  4. Step 4: Simplify right side
    262,692.56x = 44,531,638,146.67
  5. Step 5: Solve for x
    x = 44,531,638,146.67/262,692.56
  6. Step 6: Final answer
    x = 169,519.98

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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.