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Finding the Fourth Proportional to 85,282.49, 117,697.89 and 48,989

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Solution

The fourth proportional to 85,282.49, 117,697.89 and 48,989 is: 67,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,282.49 : 117,697.89 = 48,989 : x
  2. Step 2: Convert to fraction form
    85,282.49/117,697.89 = 48,989/x
  3. Step 3: Cross multiply
    85,282.49x = 117,697.89 × 48,989
  4. Step 4: Simplify right side
    85,282.49x = 5,765,901,933.21
  5. Step 5: Solve for x
    x = 5,765,901,933.21/85,282.49
  6. Step 6: Final answer
    x = 67,609.45

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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.