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Finding the Fourth Proportional to 68,975, 103,462.50 and 19,727

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Solution

The fourth proportional to 68,975, 103,462.50 and 19,727 is: 29,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,975 : 103,462.50 = 19,727 : x
  2. Step 2: Convert to fraction form
    68,975/103,462.50 = 19,727/x
  3. Step 3: Cross multiply
    68,975x = 103,462.50 × 19,727
  4. Step 4: Simplify right side
    68,975x = 2,041,004,737.50
  5. Step 5: Solve for x
    x = 2,041,004,737.50/68,975
  6. Step 6: Final answer
    x = 29,590.50

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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.