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Finding the Fourth Proportional to 106,311.64, 159,467.84 and 72,930.53

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Solution

The fourth proportional to 106,311.64, 159,467.84 and 72,930.53 is: 109,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,311.64 : 159,467.84 = 72,930.53 : x
  2. Step 2: Convert to fraction form
    106,311.64/159,467.84 = 72,930.53/x
  3. Step 3: Cross multiply
    106,311.64x = 159,467.84 × 72,930.53
  4. Step 4: Simplify right side
    106,311.64x = 11,630,073,499.66
  5. Step 5: Solve for x
    x = 11,630,073,499.66/106,311.64
  6. Step 6: Final answer
    x = 109,396.05

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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.