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Finding the Fourth Proportional to 120,620.40, 180,930.60 and 65,324.40

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Solution

The fourth proportional to 120,620.40, 180,930.60 and 65,324.40 is: 97,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,620.40 : 180,930.60 = 65,324.40 : x
  2. Step 2: Convert to fraction form
    120,620.40/180,930.60 = 65,324.40/x
  3. Step 3: Cross multiply
    120,620.40x = 180,930.60 × 65,324.40
  4. Step 4: Simplify right side
    120,620.40x = 11,819,182,886.64
  5. Step 5: Solve for x
    x = 11,819,182,886.64/120,620.40
  6. Step 6: Final answer
    x = 97,986.60

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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.