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Finding the Fourth Proportional to 76,425.43, 114,531.36 and 65,121.74

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Solution

The fourth proportional to 76,425.43, 114,531.36 and 65,121.74 is: 97,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,425.43 : 114,531.36 = 65,121.74 : x
  2. Step 2: Convert to fraction form
    76,425.43/114,531.36 = 65,121.74/x
  3. Step 3: Cross multiply
    76,425.43x = 114,531.36 × 65,121.74
  4. Step 4: Simplify right side
    76,425.43x = 7,458,481,489.89
  5. Step 5: Solve for x
    x = 7,458,481,489.89/76,425.43
  6. Step 6: Final answer
    x = 97,591.62

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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.