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Finding the Fourth Proportional to 138,604.60, 191,274.42 and 74,942.40

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Solution

The fourth proportional to 138,604.60, 191,274.42 and 74,942.40 is: 103,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,604.60 : 191,274.42 = 74,942.40 : x
  2. Step 2: Convert to fraction form
    138,604.60/191,274.42 = 74,942.40/x
  3. Step 3: Cross multiply
    138,604.60x = 191,274.42 × 74,942.40
  4. Step 4: Simplify right side
    138,604.60x = 14,334,564,093.41
  5. Step 5: Solve for x
    x = 14,334,564,093.41/138,604.60
  6. Step 6: Final answer
    x = 103,420.55

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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.