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Finding the Fourth Proportional to 49,680, 68,558.40 and 29,808

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Solution

The fourth proportional to 49,680, 68,558.40 and 29,808 is: 41,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,680 : 68,558.40 = 29,808 : x
  2. Step 2: Convert to fraction form
    49,680/68,558.40 = 29,808/x
  3. Step 3: Cross multiply
    49,680x = 68,558.40 × 29,808
  4. Step 4: Simplify right side
    49,680x = 2,043,588,787.20
  5. Step 5: Solve for x
    x = 2,043,588,787.20/49,680
  6. Step 6: Final answer
    x = 41,135.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.