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Finding the Fourth Proportional to 85,974.66, 129,055.41 and 72,709.43

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Solution

The fourth proportional to 85,974.66, 129,055.41 and 72,709.43 is: 109,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,974.66 : 129,055.41 = 72,709.43 : x
  2. Step 2: Convert to fraction form
    85,974.66/129,055.41 = 72,709.43/x
  3. Step 3: Cross multiply
    85,974.66x = 129,055.41 × 72,709.43
  4. Step 4: Simplify right side
    85,974.66x = 9,383,544,654.24
  5. Step 5: Solve for x
    x = 9,383,544,654.24/85,974.66
  6. Step 6: Final answer
    x = 109,143.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.