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Finding the Fourth Proportional to 253,749.60, 380,107.68 and 120,225.12

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Solution

The fourth proportional to 253,749.60, 380,107.68 and 120,225.12 is: 180,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,749.60 : 380,107.68 = 120,225.12 : x
  2. Step 2: Convert to fraction form
    253,749.60/380,107.68 = 120,225.12/x
  3. Step 3: Cross multiply
    253,749.60x = 380,107.68 × 120,225.12
  4. Step 4: Simplify right side
    253,749.60x = 45,698,491,440.92
  5. Step 5: Solve for x
    x = 45,698,491,440.92/253,749.60
  6. Step 6: Final answer
    x = 180,092.86

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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.