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Finding the Fourth Proportional to 109,956.53, 165,211.64 and 69,993.89

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Solution

The fourth proportional to 109,956.53, 165,211.64 and 69,993.89 is: 105,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,956.53 : 165,211.64 = 69,993.89 : x
  2. Step 2: Convert to fraction form
    109,956.53/165,211.64 = 69,993.89/x
  3. Step 3: Cross multiply
    109,956.53x = 165,211.64 × 69,993.89
  4. Step 4: Simplify right side
    109,956.53x = 11,563,804,180.85
  5. Step 5: Solve for x
    x = 11,563,804,180.85/109,956.53
  6. Step 6: Final answer
    x = 105,167.06

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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.