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Finding the Fourth Proportional to 83,687.63, 115,490.75 and 45,961.88

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Solution

The fourth proportional to 83,687.63, 115,490.75 and 45,961.88 is: 63,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,687.63 : 115,490.75 = 45,961.88 : x
  2. Step 2: Convert to fraction form
    83,687.63/115,490.75 = 45,961.88/x
  3. Step 3: Cross multiply
    83,687.63x = 115,490.75 × 45,961.88
  4. Step 4: Simplify right side
    83,687.63x = 5,308,171,185.35
  5. Step 5: Solve for x
    x = 5,308,171,185.35/83,687.63
  6. Step 6: Final answer
    x = 63,428.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.