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Finding the Fourth Proportional to 68,547.50, 102,836.37 and 29,138.30

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Solution

The fourth proportional to 68,547.50, 102,836.37 and 29,138.30 is: 43,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,547.50 : 102,836.37 = 29,138.30 : x
  2. Step 2: Convert to fraction form
    68,547.50/102,836.37 = 29,138.30/x
  3. Step 3: Cross multiply
    68,547.50x = 102,836.37 × 29,138.30
  4. Step 4: Simplify right side
    68,547.50x = 2,996,476,999.97
  5. Step 5: Solve for x
    x = 2,996,476,999.97/68,547.50
  6. Step 6: Final answer
    x = 43,713.88

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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.