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Finding the Fourth Proportional to 68,077.80, 102,116.70 and 20,692.80

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Solution

The fourth proportional to 68,077.80, 102,116.70 and 20,692.80 is: 31,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,077.80 : 102,116.70 = 20,692.80 : x
  2. Step 2: Convert to fraction form
    68,077.80/102,116.70 = 20,692.80/x
  3. Step 3: Cross multiply
    68,077.80x = 102,116.70 × 20,692.80
  4. Step 4: Simplify right side
    68,077.80x = 2,113,080,449.76
  5. Step 5: Solve for x
    x = 2,113,080,449.76/68,077.80
  6. Step 6: Final answer
    x = 31,039.20

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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.