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Finding the Fourth Proportional to 132,422.40, 199,022.40 and 115,315.20

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Solution

The fourth proportional to 132,422.40, 199,022.40 and 115,315.20 is: 173,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,422.40 : 199,022.40 = 115,315.20 : x
  2. Step 2: Convert to fraction form
    132,422.40/199,022.40 = 115,315.20/x
  3. Step 3: Cross multiply
    132,422.40x = 199,022.40 × 115,315.20
  4. Step 4: Simplify right side
    132,422.40x = 22,950,307,860.48
  5. Step 5: Solve for x
    x = 22,950,307,860.48/132,422.40
  6. Step 6: Final answer
    x = 173,311.37

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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.