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Finding the Fourth Proportional to 73,953.64, 102,055.78 and 40,419.56

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Solution

The fourth proportional to 73,953.64, 102,055.78 and 40,419.56 is: 55,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,953.64 : 102,055.78 = 40,419.56 : x
  2. Step 2: Convert to fraction form
    73,953.64/102,055.78 = 40,419.56/x
  3. Step 3: Cross multiply
    73,953.64x = 102,055.78 × 40,419.56
  4. Step 4: Simplify right side
    73,953.64x = 4,125,049,723.06
  5. Step 5: Solve for x
    x = 4,125,049,723.06/73,953.64
  6. Step 6: Final answer
    x = 55,778.86

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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.