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Finding the Fourth Proportional to 120,782.25, 166,694.88 and 73,035.94

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Solution

The fourth proportional to 120,782.25, 166,694.88 and 73,035.94 is: 100,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,782.25 : 166,694.88 = 73,035.94 : x
  2. Step 2: Convert to fraction form
    120,782.25/166,694.88 = 73,035.94/x
  3. Step 3: Cross multiply
    120,782.25x = 166,694.88 × 73,035.94
  4. Step 4: Simplify right side
    120,782.25x = 12,174,716,055.33
  5. Step 5: Solve for x
    x = 12,174,716,055.33/120,782.25
  6. Step 6: Final answer
    x = 100,798.89

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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.