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Finding the Fourth Proportional to 76,624.30, 114,935.91 and 45,364.78

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Solution

The fourth proportional to 76,624.30, 114,935.91 and 45,364.78 is: 68,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,624.30 : 114,935.91 = 45,364.78 : x
  2. Step 2: Convert to fraction form
    76,624.30/114,935.91 = 45,364.78/x
  3. Step 3: Cross multiply
    76,624.30x = 114,935.91 × 45,364.78
  4. Step 4: Simplify right side
    76,624.30x = 5,214,042,271.25
  5. Step 5: Solve for x
    x = 5,214,042,271.25/76,624.30
  6. Step 6: Final answer
    x = 68,046.85

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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.