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Finding the Fourth Proportional to 206,459.60, 284,855.67 and 120,422.33

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Solution

The fourth proportional to 206,459.60, 284,855.67 and 120,422.33 is: 166,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,459.60 : 284,855.67 = 120,422.33 : x
  2. Step 2: Convert to fraction form
    206,459.60/284,855.67 = 120,422.33/x
  3. Step 3: Cross multiply
    206,459.60x = 284,855.67 × 120,422.33
  4. Step 4: Simplify right side
    206,459.60x = 34,302,982,893.00
  5. Step 5: Solve for x
    x = 34,302,982,893.00/206,459.60
  6. Step 6: Final answer
    x = 166,148.65

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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.