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Finding the Fourth Proportional to 234,128.80, 351,157.56 and 76,357

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Solution

The fourth proportional to 234,128.80, 351,157.56 and 76,357 is: 114,523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,128.80 : 351,157.56 = 76,357 : x
  2. Step 2: Convert to fraction form
    234,128.80/351,157.56 = 76,357/x
  3. Step 3: Cross multiply
    234,128.80x = 351,157.56 × 76,357
  4. Step 4: Simplify right side
    234,128.80x = 26,813,337,808.92
  5. Step 5: Solve for x
    x = 26,813,337,808.92/234,128.80
  6. Step 6: Final answer
    x = 114,523.88

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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.