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Finding the Fourth Proportional to 81,974.88, 113,130.96 and 45,678.96

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Solution

The fourth proportional to 81,974.88, 113,130.96 and 45,678.96 is: 63,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,974.88 : 113,130.96 = 45,678.96 : x
  2. Step 2: Convert to fraction form
    81,974.88/113,130.96 = 45,678.96/x
  3. Step 3: Cross multiply
    81,974.88x = 113,130.96 × 45,678.96
  4. Step 4: Simplify right side
    81,974.88x = 5,167,704,596.60
  5. Step 5: Solve for x
    x = 5,167,704,596.60/81,974.88
  6. Step 6: Final answer
    x = 63,040.10

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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.