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Finding the Fourth Proportional to 68,861, 103,308.78 and 19,613

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Solution

The fourth proportional to 68,861, 103,308.78 and 19,613 is: 29,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,861 : 103,308.78 = 19,613 : x
  2. Step 2: Convert to fraction form
    68,861/103,308.78 = 19,613/x
  3. Step 3: Cross multiply
    68,861x = 103,308.78 × 19,613
  4. Step 4: Simplify right side
    68,861x = 2,026,195,102.14
  5. Step 5: Solve for x
    x = 2,026,195,102.14/68,861
  6. Step 6: Final answer
    x = 29,424.42

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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.