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Finding the Fourth Proportional to 73,118.40, 100,902.56 and 41,288.64

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Solution

The fourth proportional to 73,118.40, 100,902.56 and 41,288.64 is: 56,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,118.40 : 100,902.56 = 41,288.64 : x
  2. Step 2: Convert to fraction form
    73,118.40/100,902.56 = 41,288.64/x
  3. Step 3: Cross multiply
    73,118.40x = 100,902.56 × 41,288.64
  4. Step 4: Simplify right side
    73,118.40x = 4,166,129,474.92
  5. Step 5: Solve for x
    x = 4,166,129,474.92/73,118.40
  6. Step 6: Final answer
    x = 56,977.85

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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.