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Finding the Fourth Proportional to 231,080.40, 345,814.20 and 137,653.20

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Solution

The fourth proportional to 231,080.40, 345,814.20 and 137,653.20 is: 205,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,080.40 : 345,814.20 = 137,653.20 : x
  2. Step 2: Convert to fraction form
    231,080.40/345,814.20 = 137,653.20/x
  3. Step 3: Cross multiply
    231,080.40x = 345,814.20 × 137,653.20
  4. Step 4: Simplify right side
    231,080.40x = 47,602,431,235.44
  5. Step 5: Solve for x
    x = 47,602,431,235.44/231,080.40
  6. Step 6: Final answer
    x = 205,999.43

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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.