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Finding the Fourth Proportional to 120,252.87, 165,949.16 and 66,540.15

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Solution

The fourth proportional to 120,252.87, 165,949.16 and 66,540.15 is: 91,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,252.87 : 165,949.16 = 66,540.15 : x
  2. Step 2: Convert to fraction form
    120,252.87/165,949.16 = 66,540.15/x
  3. Step 3: Cross multiply
    120,252.87x = 165,949.16 × 66,540.15
  4. Step 4: Simplify right side
    120,252.87x = 11,042,281,666.07
  5. Step 5: Solve for x
    x = 11,042,281,666.07/120,252.87
  6. Step 6: Final answer
    x = 91,825.51

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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.