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Finding the Fourth Proportional to 137,273.28, 205,992 and 78,192.96

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Solution

The fourth proportional to 137,273.28, 205,992 and 78,192.96 is: 117,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,273.28 : 205,992 = 78,192.96 : x
  2. Step 2: Convert to fraction form
    137,273.28/205,992 = 78,192.96/x
  3. Step 3: Cross multiply
    137,273.28x = 205,992 × 78,192.96
  4. Step 4: Simplify right side
    137,273.28x = 16,107,124,216.32
  5. Step 5: Solve for x
    x = 16,107,124,216.32/137,273.28
  6. Step 6: Final answer
    x = 117,336.19

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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.