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Finding the Fourth Proportional to 68,532.20, 102,749.70 and 31,110.20

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Solution

The fourth proportional to 68,532.20, 102,749.70 and 31,110.20 is: 46,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,532.20 : 102,749.70 = 31,110.20 : x
  2. Step 2: Convert to fraction form
    68,532.20/102,749.70 = 31,110.20/x
  3. Step 3: Cross multiply
    68,532.20x = 102,749.70 × 31,110.20
  4. Step 4: Simplify right side
    68,532.20x = 3,196,563,716.94
  5. Step 5: Solve for x
    x = 3,196,563,716.94/68,532.20
  6. Step 6: Final answer
    x = 46,643.24

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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.