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Finding the Fourth Proportional to 76,688.43, 114,975.22 and 51,658.21

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Solution

The fourth proportional to 76,688.43, 114,975.22 and 51,658.21 is: 77,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.43 : 114,975.22 = 51,658.21 : x
  2. Step 2: Convert to fraction form
    76,688.43/114,975.22 = 51,658.21/x
  3. Step 3: Cross multiply
    76,688.43x = 114,975.22 × 51,658.21
  4. Step 4: Simplify right side
    76,688.43x = 5,939,414,059.56
  5. Step 5: Solve for x
    x = 5,939,414,059.56/76,688.43
  6. Step 6: Final answer
    x = 77,448.63

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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.