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Finding the Fourth Proportional to 100,333.76, 138,462.14 and 55,015.88

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Solution

The fourth proportional to 100,333.76, 138,462.14 and 55,015.88 is: 75,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,333.76 : 138,462.14 = 55,015.88 : x
  2. Step 2: Convert to fraction form
    100,333.76/138,462.14 = 55,015.88/x
  3. Step 3: Cross multiply
    100,333.76x = 138,462.14 × 55,015.88
  4. Step 4: Simplify right side
    100,333.76x = 7,617,615,924.01
  5. Step 5: Solve for x
    x = 7,617,615,924.01/100,333.76
  6. Step 6: Final answer
    x = 75,922.76

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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.