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Finding the Fourth Proportional to 120,253.56, 165,926.32 and 66,528.54

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Solution

The fourth proportional to 120,253.56, 165,926.32 and 66,528.54 is: 91,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,253.56 : 165,926.32 = 66,528.54 : x
  2. Step 2: Convert to fraction form
    120,253.56/165,926.32 = 66,528.54/x
  3. Step 3: Cross multiply
    120,253.56x = 165,926.32 × 66,528.54
  4. Step 4: Simplify right side
    120,253.56x = 11,038,836,025.07
  5. Step 5: Solve for x
    x = 11,038,836,025.07/120,253.56
  6. Step 6: Final answer
    x = 91,796.33

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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.