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Finding the Fourth Proportional to 101,757, 140,424.66 and 57,045

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Solution

The fourth proportional to 101,757, 140,424.66 and 57,045 is: 78,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,757 : 140,424.66 = 57,045 : x
  2. Step 2: Convert to fraction form
    101,757/140,424.66 = 57,045/x
  3. Step 3: Cross multiply
    101,757x = 140,424.66 × 57,045
  4. Step 4: Simplify right side
    101,757x = 8,010,524,729.70
  5. Step 5: Solve for x
    x = 8,010,524,729.70/101,757
  6. Step 6: Final answer
    x = 78,722.10

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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.