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Finding the Fourth Proportional to 120,628.60, 180,926.16 and 84,495.64

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Solution

The fourth proportional to 120,628.60, 180,926.16 and 84,495.64 is: 126,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,628.60 : 180,926.16 = 84,495.64 : x
  2. Step 2: Convert to fraction form
    120,628.60/180,926.16 = 84,495.64/x
  3. Step 3: Cross multiply
    120,628.60x = 180,926.16 × 84,495.64
  4. Step 4: Simplify right side
    120,628.60x = 15,287,471,681.94
  5. Step 5: Solve for x
    x = 15,287,471,681.94/120,628.60
  6. Step 6: Final answer
    x = 126,731.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.