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Finding the Fourth Proportional to 68,549, 102,838.62 and 29,139.80

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Solution

The fourth proportional to 68,549, 102,838.62 and 29,139.80 is: 43,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,549 : 102,838.62 = 29,139.80 : x
  2. Step 2: Convert to fraction form
    68,549/102,838.62 = 29,139.80/x
  3. Step 3: Cross multiply
    68,549x = 102,838.62 × 29,139.80
  4. Step 4: Simplify right side
    68,549x = 2,996,696,819.08
  5. Step 5: Solve for x
    x = 2,996,696,819.08/68,549
  6. Step 6: Final answer
    x = 43,716.13

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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.