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Finding the Fourth Proportional to 253,765.76, 380,131.52 and 120,241.28

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Solution

The fourth proportional to 253,765.76, 380,131.52 and 120,241.28 is: 180,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,765.76 : 380,131.52 = 120,241.28 : x
  2. Step 2: Convert to fraction form
    253,765.76/380,131.52 = 120,241.28/x
  3. Step 3: Cross multiply
    253,765.76x = 380,131.52 × 120,241.28
  4. Step 4: Simplify right side
    253,765.76x = 45,707,500,533.15
  5. Step 5: Solve for x
    x = 45,707,500,533.15/253,765.76
  6. Step 6: Final answer
    x = 180,116.89

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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.