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Finding the Fourth Proportional to 330,767.68, 496,154.60 and 106,128.60

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Solution

The fourth proportional to 330,767.68, 496,154.60 and 106,128.60 is: 159,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,767.68 : 496,154.60 = 106,128.60 : x
  2. Step 2: Convert to fraction form
    330,767.68/496,154.60 = 106,128.60/x
  3. Step 3: Cross multiply
    330,767.68x = 496,154.60 × 106,128.60
  4. Step 4: Simplify right side
    330,767.68x = 52,656,193,081.56
  5. Step 5: Solve for x
    x = 52,656,193,081.56/330,767.68
  6. Step 6: Final answer
    x = 159,193.89

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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.