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Finding the Fourth Proportional to 68,009.68, 102,034.36 and 28,546

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Solution

The fourth proportional to 68,009.68, 102,034.36 and 28,546 is: 42,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,009.68 : 102,034.36 = 28,546 : x
  2. Step 2: Convert to fraction form
    68,009.68/102,034.36 = 28,546/x
  3. Step 3: Cross multiply
    68,009.68x = 102,034.36 × 28,546
  4. Step 4: Simplify right side
    68,009.68x = 2,912,672,840.56
  5. Step 5: Solve for x
    x = 2,912,672,840.56/68,009.68
  6. Step 6: Final answer
    x = 42,827.33

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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.