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Finding the Fourth Proportional to 114,531.75, 171,800.87 and 31,425.75

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Solution

The fourth proportional to 114,531.75, 171,800.87 and 31,425.75 is: 47,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,531.75 : 171,800.87 = 31,425.75 : x
  2. Step 2: Convert to fraction form
    114,531.75/171,800.87 = 31,425.75/x
  3. Step 3: Cross multiply
    114,531.75x = 171,800.87 × 31,425.75
  4. Step 4: Simplify right side
    114,531.75x = 5,398,971,033.27
  5. Step 5: Solve for x
    x = 5,398,971,033.27/114,531.75
  6. Step 6: Final answer
    x = 47,139.51

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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.