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Finding the Fourth Proportional to 85,311, 117,721.80 and 55,097.64

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Solution

The fourth proportional to 85,311, 117,721.80 and 55,097.64 is: 76,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,311 : 117,721.80 = 55,097.64 : x
  2. Step 2: Convert to fraction form
    85,311/117,721.80 = 55,097.64/x
  3. Step 3: Cross multiply
    85,311x = 117,721.80 × 55,097.64
  4. Step 4: Simplify right side
    85,311x = 6,486,193,356.55
  5. Step 5: Solve for x
    x = 6,486,193,356.55/85,311
  6. Step 6: Final answer
    x = 76,029.98

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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.