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Finding the Fourth Proportional to 120,580.89, 180,879.98 and 31,833.51

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Solution

The fourth proportional to 120,580.89, 180,879.98 and 31,833.51 is: 47,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,580.89 : 180,879.98 = 31,833.51 : x
  2. Step 2: Convert to fraction form
    120,580.89/180,879.98 = 31,833.51/x
  3. Step 3: Cross multiply
    120,580.89x = 180,879.98 × 31,833.51
  4. Step 4: Simplify right side
    120,580.89x = 5,758,044,492.96
  5. Step 5: Solve for x
    x = 5,758,044,492.96/120,580.89
  6. Step 6: Final answer
    x = 47,752.55

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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.