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Finding the Fourth Proportional to 253,742.89, 380,620.51 and 85,265.66

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Solution

The fourth proportional to 253,742.89, 380,620.51 and 85,265.66 is: 127,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,742.89 : 380,620.51 = 85,265.66 : x
  2. Step 2: Convert to fraction form
    253,742.89/380,620.51 = 85,265.66/x
  3. Step 3: Cross multiply
    253,742.89x = 380,620.51 × 85,265.66
  4. Step 4: Simplify right side
    253,742.89x = 32,453,858,994.69
  5. Step 5: Solve for x
    x = 32,453,858,994.69/253,742.89
  6. Step 6: Final answer
    x = 127,900.56

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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.