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Finding the Fourth Proportional to 120,140.50, 165,787.41 and 66,422.38

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Solution

The fourth proportional to 120,140.50, 165,787.41 and 66,422.38 is: 91,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,140.50 : 165,787.41 = 66,422.38 : x
  2. Step 2: Convert to fraction form
    120,140.50/165,787.41 = 66,422.38/x
  3. Step 3: Cross multiply
    120,140.50x = 165,787.41 × 66,422.38
  4. Step 4: Simplify right side
    120,140.50x = 11,011,994,346.24
  5. Step 5: Solve for x
    x = 11,011,994,346.24/120,140.50
  6. Step 6: Final answer
    x = 91,659.30

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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.