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Finding the Fourth Proportional to 120,493.82, 166,358.94 and 77,491.82

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Solution

The fourth proportional to 120,493.82, 166,358.94 and 77,491.82 is: 106,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,493.82 : 166,358.94 = 77,491.82 : x
  2. Step 2: Convert to fraction form
    120,493.82/166,358.94 = 77,491.82/x
  3. Step 3: Cross multiply
    120,493.82x = 166,358.94 × 77,491.82
  4. Step 4: Simplify right side
    120,493.82x = 12,891,457,033.87
  5. Step 5: Solve for x
    x = 12,891,457,033.87/120,493.82
  6. Step 6: Final answer
    x = 106,988.53

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1.5x scale

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.