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Finding the Fourth Proportional to 76,691.91, 114,980.49 and 51,661.71

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Solution

The fourth proportional to 76,691.91, 114,980.49 and 51,661.71 is: 77,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,691.91 : 114,980.49 = 51,661.71 : x
  2. Step 2: Convert to fraction form
    76,691.91/114,980.49 = 51,661.71/x
  3. Step 3: Cross multiply
    76,691.91x = 114,980.49 × 51,661.71
  4. Step 4: Simplify right side
    76,691.91x = 5,940,088,730.04
  5. Step 5: Solve for x
    x = 5,940,088,730.04/76,691.91
  6. Step 6: Final answer
    x = 77,453.92

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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.