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Finding the Fourth Proportional to 45,957.49, 68,876.64 and 20,638.31

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Solution

The fourth proportional to 45,957.49, 68,876.64 and 20,638.31 is: 30,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,957.49 : 68,876.64 = 20,638.31 : x
  2. Step 2: Convert to fraction form
    45,957.49/68,876.64 = 20,638.31/x
  3. Step 3: Cross multiply
    45,957.49x = 68,876.64 × 20,638.31
  4. Step 4: Simplify right side
    45,957.49x = 1,421,497,448.08
  5. Step 5: Solve for x
    x = 1,421,497,448.08/45,957.49
  6. Step 6: Final answer
    x = 30,930.70

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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.