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Finding the Fourth Proportional to 76,238, 114,230.68 and 53,940.88

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Solution

The fourth proportional to 76,238, 114,230.68 and 53,940.88 is: 80,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238 : 114,230.68 = 53,940.88 : x
  2. Step 2: Convert to fraction form
    76,238/114,230.68 = 53,940.88/x
  3. Step 3: Cross multiply
    76,238x = 114,230.68 × 53,940.88
  4. Step 4: Simplify right side
    76,238x = 6,161,703,402.20
  5. Step 5: Solve for x
    x = 6,161,703,402.20/76,238
  6. Step 6: Final answer
    x = 80,821.94

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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.