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Finding the Fourth Proportional to 85,393.42, 117,840.90 and 49,582.42

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Solution

The fourth proportional to 85,393.42, 117,840.90 and 49,582.42 is: 68,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,393.42 : 117,840.90 = 49,582.42 : x
  2. Step 2: Convert to fraction form
    85,393.42/117,840.90 = 49,582.42/x
  3. Step 3: Cross multiply
    85,393.42x = 117,840.90 × 49,582.42
  4. Step 4: Simplify right side
    85,393.42x = 5,842,836,996.98
  5. Step 5: Solve for x
    x = 5,842,836,996.98/85,393.42
  6. Step 6: Final answer
    x = 68,422.57

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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.