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Finding the Fourth Proportional to 331,170, 496,801.72 and 106,455.12

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Solution

The fourth proportional to 331,170, 496,801.72 and 106,455.12 is: 159,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,170 : 496,801.72 = 106,455.12 : x
  2. Step 2: Convert to fraction form
    331,170/496,801.72 = 106,455.12/x
  3. Step 3: Cross multiply
    331,170x = 496,801.72 × 106,455.12
  4. Step 4: Simplify right side
    331,170x = 52,887,086,718.81
  5. Step 5: Solve for x
    x = 52,887,086,718.81/331,170
  6. Step 6: Final answer
    x = 159,697.70

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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.