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Finding the Fourth Proportional to 68,441.71, 102,644.74 and 28,978.51

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Solution

The fourth proportional to 68,441.71, 102,644.74 and 28,978.51 is: 43,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,441.71 : 102,644.74 = 28,978.51 : x
  2. Step 2: Convert to fraction form
    68,441.71/102,644.74 = 28,978.51/x
  3. Step 3: Cross multiply
    68,441.71x = 102,644.74 × 28,978.51
  4. Step 4: Simplify right side
    68,441.71x = 2,974,491,624.54
  5. Step 5: Solve for x
    x = 2,974,491,624.54/68,441.71
  6. Step 6: Final answer
    x = 43,460.22

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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.