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Finding the Fourth Proportional to 137,493.54, 205,832.07 and 74,974.50

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Solution

The fourth proportional to 137,493.54, 205,832.07 and 74,974.50 is: 112,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,493.54 : 205,832.07 = 74,974.50 : x
  2. Step 2: Convert to fraction form
    137,493.54/205,832.07 = 74,974.50/x
  3. Step 3: Cross multiply
    137,493.54x = 205,832.07 × 74,974.50
  4. Step 4: Simplify right side
    137,493.54x = 15,432,156,532.22
  5. Step 5: Solve for x
    x = 15,432,156,532.22/137,493.54
  6. Step 6: Final answer
    x = 112,239.14

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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.