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Finding the Fourth Proportional to 137,374.94, 206,138.96 and 74,193.72

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Solution

The fourth proportional to 137,374.94, 206,138.96 and 74,193.72 is: 111,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,374.94 : 206,138.96 = 74,193.72 : x
  2. Step 2: Convert to fraction form
    137,374.94/206,138.96 = 74,193.72/x
  3. Step 3: Cross multiply
    137,374.94x = 206,138.96 × 74,193.72
  4. Step 4: Simplify right side
    137,374.94x = 15,294,215,908.36
  5. Step 5: Solve for x
    x = 15,294,215,908.36/137,374.94
  6. Step 6: Final answer
    x = 111,331.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.