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Finding the Fourth Proportional to 84,777.28, 117,002 and 54,178.58

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Solution

The fourth proportional to 84,777.28, 117,002 and 54,178.58 is: 74,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,777.28 : 117,002 = 54,178.58 : x
  2. Step 2: Convert to fraction form
    84,777.28/117,002 = 54,178.58/x
  3. Step 3: Cross multiply
    84,777.28x = 117,002 × 54,178.58
  4. Step 4: Simplify right side
    84,777.28x = 6,339,002,217.16
  5. Step 5: Solve for x
    x = 6,339,002,217.16/84,777.28
  6. Step 6: Final answer
    x = 74,772.42

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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.