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Finding the Fourth Proportional to 101,980.92, 140,694.42 and 75,187.14

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Solution

The fourth proportional to 101,980.92, 140,694.42 and 75,187.14 is: 103,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980.92 : 140,694.42 = 75,187.14 : x
  2. Step 2: Convert to fraction form
    101,980.92/140,694.42 = 75,187.14/x
  3. Step 3: Cross multiply
    101,980.92x = 140,694.42 × 75,187.14
  4. Step 4: Simplify right side
    101,980.92x = 10,578,410,385.18
  5. Step 5: Solve for x
    x = 10,578,410,385.18/101,980.92
  6. Step 6: Final answer
    x = 103,729.31

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1.5x scale

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.