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Finding the Fourth Proportional to 138,604.98, 191,274.75 and 74,942.64

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Solution

The fourth proportional to 138,604.98, 191,274.75 and 74,942.64 is: 103,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,604.98 : 191,274.75 = 74,942.64 : x
  2. Step 2: Convert to fraction form
    138,604.98/191,274.75 = 74,942.64/x
  3. Step 3: Cross multiply
    138,604.98x = 191,274.75 × 74,942.64
  4. Step 4: Simplify right side
    138,604.98x = 14,334,634,730.34
  5. Step 5: Solve for x
    x = 14,334,634,730.34/138,604.98
  6. Step 6: Final answer
    x = 103,420.78

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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.