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Finding the Fourth Proportional to 138,604.64, 191,274.64 and 74,942.48

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Solution

The fourth proportional to 138,604.64, 191,274.64 and 74,942.48 is: 103,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,604.64 : 191,274.64 = 74,942.48 : x
  2. Step 2: Convert to fraction form
    138,604.64/191,274.64 = 74,942.48/x
  3. Step 3: Cross multiply
    138,604.64x = 191,274.64 × 74,942.48
  4. Step 4: Simplify right side
    138,604.64x = 14,334,595,882.71
  5. Step 5: Solve for x
    x = 14,334,595,882.71/138,604.64
  6. Step 6: Final answer
    x = 103,420.75

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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.