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Finding the Fourth Proportional to 102,791.56, 154,199.58 and 43,619.40

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Solution

The fourth proportional to 102,791.56, 154,199.58 and 43,619.40 is: 65,434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,791.56 : 154,199.58 = 43,619.40 : x
  2. Step 2: Convert to fraction form
    102,791.56/154,199.58 = 43,619.40/x
  3. Step 3: Cross multiply
    102,791.56x = 154,199.58 × 43,619.40
  4. Step 4: Simplify right side
    102,791.56x = 6,726,093,159.85
  5. Step 5: Solve for x
    x = 6,726,093,159.85/102,791.56
  6. Step 6: Final answer
    x = 65,434.29

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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.