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Finding the Fourth Proportional to 77,285.64, 115,850.02 and 43,936.78

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Solution

The fourth proportional to 77,285.64, 115,850.02 and 43,936.78 is: 65,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,285.64 : 115,850.02 = 43,936.78 : x
  2. Step 2: Convert to fraction form
    77,285.64/115,850.02 = 43,936.78/x
  3. Step 3: Cross multiply
    77,285.64x = 115,850.02 × 43,936.78
  4. Step 4: Simplify right side
    77,285.64x = 5,090,076,841.74
  5. Step 5: Solve for x
    x = 5,090,076,841.74/77,285.64
  6. Step 6: Final answer
    x = 65,860.58

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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.