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Finding the Fourth Proportional to 257,441.76, 386,157.78 and 79,944.84

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Solution

The fourth proportional to 257,441.76, 386,157.78 and 79,944.84 is: 119,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,441.76 : 386,157.78 = 79,944.84 : x
  2. Step 2: Convert to fraction form
    257,441.76/386,157.78 = 79,944.84/x
  3. Step 3: Cross multiply
    257,441.76x = 386,157.78 × 79,944.84
  4. Step 4: Simplify right side
    257,441.76x = 30,871,321,936.86
  5. Step 5: Solve for x
    x = 30,871,321,936.86/257,441.76
  6. Step 6: Final answer
    x = 119,915.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.