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Finding the Fourth Proportional to 120,643.68, 180,980.82 and 45,789.96

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Solution

The fourth proportional to 120,643.68, 180,980.82 and 45,789.96 is: 68,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,643.68 : 180,980.82 = 45,789.96 : x
  2. Step 2: Convert to fraction form
    120,643.68/180,980.82 = 45,789.96/x
  3. Step 3: Cross multiply
    120,643.68x = 180,980.82 × 45,789.96
  4. Step 4: Simplify right side
    120,643.68x = 8,287,104,508.57
  5. Step 5: Solve for x
    x = 8,287,104,508.57/120,643.68
  6. Step 6: Final answer
    x = 68,690.75

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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.