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Finding the Fourth Proportional to 100,686.48, 138,944.67 and 54,744.67

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Solution

The fourth proportional to 100,686.48, 138,944.67 and 54,744.67 is: 75,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686.48 : 138,944.67 = 54,744.67 : x
  2. Step 2: Convert to fraction form
    100,686.48/138,944.67 = 54,744.67/x
  3. Step 3: Cross multiply
    100,686.48x = 138,944.67 × 54,744.67
  4. Step 4: Simplify right side
    100,686.48x = 7,606,479,760.05
  5. Step 5: Solve for x
    x = 7,606,479,760.05/100,686.48
  6. Step 6: Final answer
    x = 75,546.19

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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.