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Finding the Fourth Proportional to 68,509.20, 102,715.20 and 31,087.20

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Solution

The fourth proportional to 68,509.20, 102,715.20 and 31,087.20 is: 46,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,509.20 : 102,715.20 = 31,087.20 : x
  2. Step 2: Convert to fraction form
    68,509.20/102,715.20 = 31,087.20/x
  3. Step 3: Cross multiply
    68,509.20x = 102,715.20 × 31,087.20
  4. Step 4: Simplify right side
    68,509.20x = 3,193,127,965.44
  5. Step 5: Solve for x
    x = 3,193,127,965.44/68,509.20
  6. Step 6: Final answer
    x = 46,608.75

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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.