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Finding the Fourth Proportional to 81,507.70, 112,441.90 and 54,296.44

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Solution

The fourth proportional to 81,507.70, 112,441.90 and 54,296.44 is: 74,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,507.70 : 112,441.90 = 54,296.44 : x
  2. Step 2: Convert to fraction form
    81,507.70/112,441.90 = 54,296.44/x
  3. Step 3: Cross multiply
    81,507.70x = 112,441.90 × 54,296.44
  4. Step 4: Simplify right side
    81,507.70x = 6,105,194,147.36
  5. Step 5: Solve for x
    x = 6,105,194,147.36/81,507.70
  6. Step 6: Final answer
    x = 74,903.28

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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.