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Finding the Fourth Proportional to 45,806.80, 68,731.80 and 34,142.80

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Solution

The fourth proportional to 45,806.80, 68,731.80 and 34,142.80 is: 51,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,806.80 : 68,731.80 = 34,142.80 : x
  2. Step 2: Convert to fraction form
    45,806.80/68,731.80 = 34,142.80/x
  3. Step 3: Cross multiply
    45,806.80x = 68,731.80 × 34,142.80
  4. Step 4: Simplify right side
    45,806.80x = 2,346,696,101.04
  5. Step 5: Solve for x
    x = 2,346,696,101.04/45,806.80
  6. Step 6: Final answer
    x = 51,230.30

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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.