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Finding the Fourth Proportional to 101,757.44, 140,424.36 and 57,045.44

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Solution

The fourth proportional to 101,757.44, 140,424.36 and 57,045.44 is: 78,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,757.44 : 140,424.36 = 57,045.44 : x
  2. Step 2: Convert to fraction form
    101,757.44/140,424.36 = 57,045.44/x
  3. Step 3: Cross multiply
    101,757.44x = 140,424.36 × 57,045.44
  4. Step 4: Simplify right side
    101,757.44x = 8,010,569,402.92
  5. Step 5: Solve for x
    x = 8,010,569,402.92/101,757.44
  6. Step 6: Final answer
    x = 78,722.20

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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.