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Finding the Fourth Proportional to 102,133.37, 140,944.02 and 57,421.37

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Solution

The fourth proportional to 102,133.37, 140,944.02 and 57,421.37 is: 79,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,133.37 : 140,944.02 = 57,421.37 : x
  2. Step 2: Convert to fraction form
    102,133.37/140,944.02 = 57,421.37/x
  3. Step 3: Cross multiply
    102,133.37x = 140,944.02 × 57,421.37
  4. Step 4: Simplify right side
    102,133.37x = 8,093,198,016.99
  5. Step 5: Solve for x
    x = 8,093,198,016.99/102,133.37
  6. Step 6: Final answer
    x = 79,241.47

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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.