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Finding the Fourth Proportional to 76,387.76, 114,604.32 and 41,318

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Solution

The fourth proportional to 76,387.76, 114,604.32 and 41,318 is: 61,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,387.76 : 114,604.32 = 41,318 : x
  2. Step 2: Convert to fraction form
    76,387.76/114,604.32 = 41,318/x
  3. Step 3: Cross multiply
    76,387.76x = 114,604.32 × 41,318
  4. Step 4: Simplify right side
    76,387.76x = 4,735,221,293.76
  5. Step 5: Solve for x
    x = 4,735,221,293.76/76,387.76
  6. Step 6: Final answer
    x = 61,989.27

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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.