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Finding the Fourth Proportional to 76,730.70, 115,077.82 and 29,328.39

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Solution

The fourth proportional to 76,730.70, 115,077.82 and 29,328.39 is: 43,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,730.70 : 115,077.82 = 29,328.39 : x
  2. Step 2: Convert to fraction form
    76,730.70/115,077.82 = 29,328.39/x
  3. Step 3: Cross multiply
    76,730.70x = 115,077.82 × 29,328.39
  4. Step 4: Simplify right side
    76,730.70x = 3,375,046,609.92
  5. Step 5: Solve for x
    x = 3,375,046,609.92/76,730.70
  6. Step 6: Final answer
    x = 43,985.61

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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.