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Finding the Fourth Proportional to 102,704.40, 153,958.19 and 43,458.57

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Solution

The fourth proportional to 102,704.40, 153,958.19 and 43,458.57 is: 65,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,704.40 : 153,958.19 = 43,458.57 : x
  2. Step 2: Convert to fraction form
    102,704.40/153,958.19 = 43,458.57/x
  3. Step 3: Cross multiply
    102,704.40x = 153,958.19 × 43,458.57
  4. Step 4: Simplify right side
    102,704.40x = 6,690,802,559.90
  5. Step 5: Solve for x
    x = 6,690,802,559.90/102,704.40
  6. Step 6: Final answer
    x = 65,146.21

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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.