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Finding the Fourth Proportional to 120,239.83, 165,935.85 and 66,523.97

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Solution

The fourth proportional to 120,239.83, 165,935.85 and 66,523.97 is: 91,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,239.83 : 165,935.85 = 66,523.97 : x
  2. Step 2: Convert to fraction form
    120,239.83/165,935.85 = 66,523.97/x
  3. Step 3: Cross multiply
    120,239.83x = 165,935.85 × 66,523.97
  4. Step 4: Simplify right side
    120,239.83x = 11,038,711,050.44
  5. Step 5: Solve for x
    x = 11,038,711,050.44/120,239.83
  6. Step 6: Final answer
    x = 91,805.78

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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.