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Finding the Fourth Proportional to 120,655.68, 166,488.12 and 80,395.44

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Solution

The fourth proportional to 120,655.68, 166,488.12 and 80,395.44 is: 110,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,655.68 : 166,488.12 = 80,395.44 : x
  2. Step 2: Convert to fraction form
    120,655.68/166,488.12 = 80,395.44/x
  3. Step 3: Cross multiply
    120,655.68x = 166,488.12 × 80,395.44
  4. Step 4: Simplify right side
    120,655.68x = 13,384,885,662.17
  5. Step 5: Solve for x
    x = 13,384,885,662.17/120,655.68
  6. Step 6: Final answer
    x = 110,934.57

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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.