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Finding the Fourth Proportional to 120,388.93, 180,484.83 and 45,466.54

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Solution

The fourth proportional to 120,388.93, 180,484.83 and 45,466.54 is: 68,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,388.93 : 180,484.83 = 45,466.54 : x
  2. Step 2: Convert to fraction form
    120,388.93/180,484.83 = 45,466.54/x
  3. Step 3: Cross multiply
    120,388.93x = 180,484.83 × 45,466.54
  4. Step 4: Simplify right side
    120,388.93x = 8,206,020,742.59
  5. Step 5: Solve for x
    x = 8,206,020,742.59/120,388.93
  6. Step 6: Final answer
    x = 68,162.59

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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.