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Finding the Fourth Proportional to 120,605.01, 180,916.19 and 31,857.36

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Solution

The fourth proportional to 120,605.01, 180,916.19 and 31,857.36 is: 47,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,605.01 : 180,916.19 = 31,857.36 : x
  2. Step 2: Convert to fraction form
    120,605.01/180,916.19 = 31,857.36/x
  3. Step 3: Cross multiply
    120,605.01x = 180,916.19 × 31,857.36
  4. Step 4: Simplify right side
    120,605.01x = 5,763,512,194.66
  5. Step 5: Solve for x
    x = 5,763,512,194.66/120,605.01
  6. Step 6: Final answer
    x = 47,788.33

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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.