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Finding the Fourth Proportional to 76,451.69, 114,502.94 and 36,498.78

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Solution

The fourth proportional to 76,451.69, 114,502.94 and 36,498.78 is: 54,664.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,451.69 : 114,502.94 = 36,498.78 : x
  2. Step 2: Convert to fraction form
    76,451.69/114,502.94 = 36,498.78/x
  3. Step 3: Cross multiply
    76,451.69x = 114,502.94 × 36,498.78
  4. Step 4: Simplify right side
    76,451.69x = 4,179,217,433.92
  5. Step 5: Solve for x
    x = 4,179,217,433.92/76,451.69
  6. Step 6: Final answer
    x = 54,664.82

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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.