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Finding the Fourth Proportional to 76,841.66, 115,256.01 and 43,456.70

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Solution

The fourth proportional to 76,841.66, 115,256.01 and 43,456.70 is: 65,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.66 : 115,256.01 = 43,456.70 : x
  2. Step 2: Convert to fraction form
    76,841.66/115,256.01 = 43,456.70/x
  3. Step 3: Cross multiply
    76,841.66x = 115,256.01 × 43,456.70
  4. Step 4: Simplify right side
    76,841.66x = 5,008,646,300.87
  5. Step 5: Solve for x
    x = 5,008,646,300.87/76,841.66
  6. Step 6: Final answer
    x = 65,181.39

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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.