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Finding the Fourth Proportional to 68,648.10, 102,862.80 and 50,933.40

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Solution

The fourth proportional to 68,648.10, 102,862.80 and 50,933.40 is: 76,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,648.10 : 102,862.80 = 50,933.40 : x
  2. Step 2: Convert to fraction form
    68,648.10/102,862.80 = 50,933.40/x
  3. Step 3: Cross multiply
    68,648.10x = 102,862.80 × 50,933.40
  4. Step 4: Simplify right side
    68,648.10x = 5,239,152,137.52
  5. Step 5: Solve for x
    x = 5,239,152,137.52/68,648.10
  6. Step 6: Final answer
    x = 76,318.97

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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.