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Finding the Fourth Proportional to 100,933.79, 139,288.76 and 54,993.21

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Solution

The fourth proportional to 100,933.79, 139,288.76 and 54,993.21 is: 75,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,933.79 : 139,288.76 = 54,993.21 : x
  2. Step 2: Convert to fraction form
    100,933.79/139,288.76 = 54,993.21/x
  3. Step 3: Cross multiply
    100,933.79x = 139,288.76 × 54,993.21
  4. Step 4: Simplify right side
    100,933.79x = 7,659,935,754.35
  5. Step 5: Solve for x
    x = 7,659,935,754.35/100,933.79
  6. Step 6: Final answer
    x = 75,890.70

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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.