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Finding the Fourth Proportional to 120,610.01, 180,916.23 and 45,709.97

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Solution

The fourth proportional to 120,610.01, 180,916.23 and 45,709.97 is: 68,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,610.01 : 180,916.23 = 45,709.97 : x
  2. Step 2: Convert to fraction form
    120,610.01/180,916.23 = 45,709.97/x
  3. Step 3: Cross multiply
    120,610.01x = 180,916.23 × 45,709.97
  4. Step 4: Simplify right side
    120,610.01x = 8,269,675,730.30
  5. Step 5: Solve for x
    x = 8,269,675,730.30/120,610.01
  6. Step 6: Final answer
    x = 68,565.42

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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.