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Finding the Fourth Proportional to 101,983.96, 140,698.50 and 75,190.12

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Solution

The fourth proportional to 101,983.96, 140,698.50 and 75,190.12 is: 103,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,983.96 : 140,698.50 = 75,190.12 : x
  2. Step 2: Convert to fraction form
    101,983.96/140,698.50 = 75,190.12/x
  3. Step 3: Cross multiply
    101,983.96x = 140,698.50 × 75,190.12
  4. Step 4: Simplify right side
    101,983.96x = 10,579,137,098.82
  5. Step 5: Solve for x
    x = 10,579,137,098.82/101,983.96
  6. Step 6: Final answer
    x = 103,733.34

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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.