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Finding the Fourth Proportional to 101,982.96, 140,697.12 and 75,189.12

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Solution

The fourth proportional to 101,982.96, 140,697.12 and 75,189.12 is: 103,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,982.96 : 140,697.12 = 75,189.12 : x
  2. Step 2: Convert to fraction form
    101,982.96/140,697.12 = 75,189.12/x
  3. Step 3: Cross multiply
    101,982.96x = 140,697.12 × 75,189.12
  4. Step 4: Simplify right side
    101,982.96x = 10,578,892,639.33
  5. Step 5: Solve for x
    x = 10,578,892,639.33/101,982.96
  6. Step 6: Final answer
    x = 103,731.96

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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.