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Finding the Fourth Proportional to 76,859.92, 115,295.82 and 29,497.69

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Solution

The fourth proportional to 76,859.92, 115,295.82 and 29,497.69 is: 44,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,859.92 : 115,295.82 = 29,497.69 : x
  2. Step 2: Convert to fraction form
    76,859.92/115,295.82 = 29,497.69/x
  3. Step 3: Cross multiply
    76,859.92x = 115,295.82 × 29,497.69
  4. Step 4: Simplify right side
    76,859.92x = 3,400,960,356.66
  5. Step 5: Solve for x
    x = 3,400,960,356.66/76,859.92
  6. Step 6: Final answer
    x = 44,248.81

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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.