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Finding the Fourth Proportional to 101,780.82, 140,453.73 and 57,065.94

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Solution

The fourth proportional to 101,780.82, 140,453.73 and 57,065.94 is: 78,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,780.82 : 140,453.73 = 57,065.94 : x
  2. Step 2: Convert to fraction form
    101,780.82/140,453.73 = 57,065.94/x
  3. Step 3: Cross multiply
    101,780.82x = 140,453.73 × 57,065.94
  4. Step 4: Simplify right side
    101,780.82x = 8,015,124,128.96
  5. Step 5: Solve for x
    x = 8,015,124,128.96/101,780.82
  6. Step 6: Final answer
    x = 78,748.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.