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Finding the Fourth Proportional to 101,966.75, 140,698.52 and 56,640.57

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Solution

The fourth proportional to 101,966.75, 140,698.52 and 56,640.57 is: 78,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,966.75 : 140,698.52 = 56,640.57 : x
  2. Step 2: Convert to fraction form
    101,966.75/140,698.52 = 56,640.57/x
  3. Step 3: Cross multiply
    101,966.75x = 140,698.52 × 56,640.57
  4. Step 4: Simplify right side
    101,966.75x = 7,969,243,772.54
  5. Step 5: Solve for x
    x = 7,969,243,772.54/101,966.75
  6. Step 6: Final answer
    x = 78,155.32

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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.