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Finding the Fourth Proportional to 101,868, 140,578.92 and 57,156

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Solution

The fourth proportional to 101,868, 140,578.92 and 57,156 is: 78,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,868 : 140,578.92 = 57,156 : x
  2. Step 2: Convert to fraction form
    101,868/140,578.92 = 57,156/x
  3. Step 3: Cross multiply
    101,868x = 140,578.92 × 57,156
  4. Step 4: Simplify right side
    101,868x = 8,034,928,751.52
  5. Step 5: Solve for x
    x = 8,034,928,751.52/101,868
  6. Step 6: Final answer
    x = 78,875.89

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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.