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Finding the Fourth Proportional to 68,011.52, 102,017.14 and 18,091.64

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Solution

The fourth proportional to 68,011.52, 102,017.14 and 18,091.64 is: 27,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,011.52 : 102,017.14 = 18,091.64 : x
  2. Step 2: Convert to fraction form
    68,011.52/102,017.14 = 18,091.64/x
  3. Step 3: Cross multiply
    68,011.52x = 102,017.14 × 18,091.64
  4. Step 4: Simplify right side
    68,011.52x = 1,845,657,580.52
  5. Step 5: Solve for x
    x = 1,845,657,580.52/68,011.52
  6. Step 6: Final answer
    x = 27,137.43

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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.