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Finding the Fourth Proportional to 76,346.69, 114,425.78 and 55,358.78

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Solution

The fourth proportional to 76,346.69, 114,425.78 and 55,358.78 is: 82,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,346.69 : 114,425.78 = 55,358.78 : x
  2. Step 2: Convert to fraction form
    76,346.69/114,425.78 = 55,358.78/x
  3. Step 3: Cross multiply
    76,346.69x = 114,425.78 × 55,358.78
  4. Step 4: Simplify right side
    76,346.69x = 6,334,470,732.43
  5. Step 5: Solve for x
    x = 6,334,470,732.43/76,346.69
  6. Step 6: Final answer
    x = 82,969.82

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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.