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Finding the Fourth Proportional to 120,243.92, 180,360.95 and 31,495.46

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Solution

The fourth proportional to 120,243.92, 180,360.95 and 31,495.46 is: 47,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,243.92 : 180,360.95 = 31,495.46 : x
  2. Step 2: Convert to fraction form
    120,243.92/180,360.95 = 31,495.46/x
  3. Step 3: Cross multiply
    120,243.92x = 180,360.95 × 31,495.46
  4. Step 4: Simplify right side
    120,243.92x = 5,680,550,027.00
  5. Step 5: Solve for x
    x = 5,680,550,027.00/120,243.92
  6. Step 6: Final answer
    x = 47,241.89

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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.