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Finding the Fourth Proportional to 101,764.20, 140,434.50 and 57,052.20

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Solution

The fourth proportional to 101,764.20, 140,434.50 and 57,052.20 is: 78,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,764.20 : 140,434.50 = 57,052.20 : x
  2. Step 2: Convert to fraction form
    101,764.20/140,434.50 = 57,052.20/x
  3. Step 3: Cross multiply
    101,764.20x = 140,434.50 × 57,052.20
  4. Step 4: Simplify right side
    101,764.20x = 8,012,097,180.90
  5. Step 5: Solve for x
    x = 8,012,097,180.90/101,764.20
  6. Step 6: Final answer
    x = 78,731.98

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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.