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Finding the Fourth Proportional to 85,486.73, 117,976.10 and 51,505.88

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Solution

The fourth proportional to 85,486.73, 117,976.10 and 51,505.88 is: 71,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,486.73 : 117,976.10 = 51,505.88 : x
  2. Step 2: Convert to fraction form
    85,486.73/117,976.10 = 51,505.88/x
  3. Step 3: Cross multiply
    85,486.73x = 117,976.10 × 51,505.88
  4. Step 4: Simplify right side
    85,486.73x = 6,076,462,002.06
  5. Step 5: Solve for x
    x = 6,076,462,002.06/85,486.73
  6. Step 6: Final answer
    x = 71,080.77

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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.