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Finding the Fourth Proportional to 120,458.57, 180,690.80 and 40,497.71

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Solution

The fourth proportional to 120,458.57, 180,690.80 and 40,497.71 is: 60,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,458.57 : 180,690.80 = 40,497.71 : x
  2. Step 2: Convert to fraction form
    120,458.57/180,690.80 = 40,497.71/x
  3. Step 3: Cross multiply
    120,458.57x = 180,690.80 × 40,497.71
  4. Step 4: Simplify right side
    120,458.57x = 7,317,562,512.13
  5. Step 5: Solve for x
    x = 7,317,562,512.13/120,458.57
  6. Step 6: Final answer
    x = 60,747.55

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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.