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Finding the Fourth Proportional to 208,492.38, 312,735.84 and 50,721

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Solution

The fourth proportional to 208,492.38, 312,735.84 and 50,721 is: 76,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,492.38 : 312,735.84 = 50,721 : x
  2. Step 2: Convert to fraction form
    208,492.38/312,735.84 = 50,721/x
  3. Step 3: Cross multiply
    208,492.38x = 312,735.84 × 50,721
  4. Step 4: Simplify right side
    208,492.38x = 15,862,274,540.64
  5. Step 5: Solve for x
    x = 15,862,274,540.64/208,492.38
  6. Step 6: Final answer
    x = 76,080.84

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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.