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Finding the Fourth Proportional to 120,690.57, 166,483.73 and 75,289.71

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Solution

The fourth proportional to 120,690.57, 166,483.73 and 75,289.71 is: 103,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,690.57 : 166,483.73 = 75,289.71 : x
  2. Step 2: Convert to fraction form
    120,690.57/166,483.73 = 75,289.71/x
  3. Step 3: Cross multiply
    120,690.57x = 166,483.73 × 75,289.71
  4. Step 4: Simplify right side
    120,690.57x = 12,534,511,939.64
  5. Step 5: Solve for x
    x = 12,534,511,939.64/120,690.57
  6. Step 6: Final answer
    x = 103,856.60

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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.