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Finding the Fourth Proportional to 137,690.47, 206,098.30 and 74,420.56

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Solution

The fourth proportional to 137,690.47, 206,098.30 and 74,420.56 is: 111,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,690.47 : 206,098.30 = 74,420.56 : x
  2. Step 2: Convert to fraction form
    137,690.47/206,098.30 = 74,420.56/x
  3. Step 3: Cross multiply
    137,690.47x = 206,098.30 × 74,420.56
  4. Step 4: Simplify right side
    137,690.47x = 15,337,950,901.05
  5. Step 5: Solve for x
    x = 15,337,950,901.05/137,690.47
  6. Step 6: Final answer
    x = 111,394.43

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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.