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Finding the Fourth Proportional to 120,146.49, 165,789.47 and 66,422.84

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Solution

The fourth proportional to 120,146.49, 165,789.47 and 66,422.84 is: 91,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,146.49 : 165,789.47 = 66,422.84 : x
  2. Step 2: Convert to fraction form
    120,146.49/165,789.47 = 66,422.84/x
  3. Step 3: Cross multiply
    120,146.49x = 165,789.47 × 66,422.84
  4. Step 4: Simplify right side
    120,146.49x = 11,012,206,278.43
  5. Step 5: Solve for x
    x = 11,012,206,278.43/120,146.49
  6. Step 6: Final answer
    x = 91,656.50

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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.