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Finding the Fourth Proportional to 120,602.27, 180,912.04 and 31,854.89

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Solution

The fourth proportional to 120,602.27, 180,912.04 and 31,854.89 is: 47,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,602.27 : 180,912.04 = 31,854.89 : x
  2. Step 2: Convert to fraction form
    120,602.27/180,912.04 = 31,854.89/x
  3. Step 3: Cross multiply
    120,602.27x = 180,912.04 × 31,854.89
  4. Step 4: Simplify right side
    120,602.27x = 5,762,933,133.88
  5. Step 5: Solve for x
    x = 5,762,933,133.88/120,602.27
  6. Step 6: Final answer
    x = 47,784.62

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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.