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Finding the Fourth Proportional to 120,436.64, 180,665.30 and 31,690.64

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Solution

The fourth proportional to 120,436.64, 180,665.30 and 31,690.64 is: 47,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,436.64 : 180,665.30 = 31,690.64 : x
  2. Step 2: Convert to fraction form
    120,436.64/180,665.30 = 31,690.64/x
  3. Step 3: Cross multiply
    120,436.64x = 180,665.30 × 31,690.64
  4. Step 4: Simplify right side
    120,436.64x = 5,725,398,982.79
  5. Step 5: Solve for x
    x = 5,725,398,982.79/120,436.64
  6. Step 6: Final answer
    x = 47,538.68

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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.