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Finding the Fourth Proportional to 101,756, 140,423.28 and 57,044

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Solution

The fourth proportional to 101,756, 140,423.28 and 57,044 is: 78,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,756 : 140,423.28 = 57,044 : x
  2. Step 2: Convert to fraction form
    101,756/140,423.28 = 57,044/x
  3. Step 3: Cross multiply
    101,756x = 140,423.28 × 57,044
  4. Step 4: Simplify right side
    101,756x = 8,010,305,584.32
  5. Step 5: Solve for x
    x = 8,010,305,584.32/101,756
  6. Step 6: Final answer
    x = 78,720.72

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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.